Vector: A series of scalars contained in a column or row. Dimensions: How many rows and columns a vector or matrix has.
|
|
- Anne Manning
- 6 years ago
- Views:
Transcription
1 ASSIGNMENT 0 Introduction to Linear Algebra (Basics of vectors and matrices) Due 3:30 PM, Tuesday, October 10 th. Assignments should be submitted via to: matlabfun.ucsd@gmail.com You can also submit HW0 in person in class. Survey Please go to this link: Completing this survey is required to get full credit for HW0. Homework The goal of HW0 is to review matrices and basic linear algebra. We will play with matrices in MATLAB, but it s important to understand them conceptually before using them in programs. You don t need to worry about terminology per-se or how to implement them in Matlab. That will be covered in class. Definitions for the purposes of this class: Scalar: A single value, (e.g.: -1, 2.35, 10/3) Vector: A series of scalars contained in a column or row e.g. V1 = [ 1, 2, 4.5, 3] row vector 1 V2 = [ 2] column vector 3 Dimensions: How many rows and columns a vector or matrix has. V1 has 1 row and 4 columns or 1x4 V2 has 3 rows and 1 column or 3x1. Note that a vector has either one 1 row or 1 column. Matrix: A series of vectors that form a rectangular shape. Note: Each row or column will have the same amount of values. M1 = [ ] 2x3 matrix M2 = [ 3 4] 3x2 matrix, and transpose of M1 5 6
2 1 2 3 M3 = [ 4 5 6] 3x3 matrix Indexing vertices and matrices: You can refer to any part of a matrix or vector with the proper index. Format is ALWAYS (# of row, # of column). And the first row or column is ALWAYS 1 in MATLAB. Students with a programming background may be used to 0 as the first. MATLAB does not work that way. Any one value in a matrix or vector is referred to as an element. M1(2,3) = 6. M2(3,1) = 5 M3(2,1) = 4 V1(1,3) = 4.5 V2(1,2) = DNE (Does not exist because V2 only has one column) Special matrices Identity: A square matrix that when multiplied with another matrix results in the original matrix. Only values are 0 s and 1 s, with 1 s going down diagonally top left to bottom right [ 0 1 0] Transpose: A matrix that has its values flipped across the diagonal. Given an index location (a,b), the value is then swapped with (b,a). Basic operations M3 = [ ] 2 4 M3 T = M3 = [ 1 7] 3 8 Addition (+) and Subtraction (-) Scalar +/- vector or matrix: Add/Subract the scalar value to each element in a vector or matrix. 3 V1 = 3 [ 1, 2, 4.5, 3] = [2,1, 1.5,6] Vectors and matrices: Add the corresponding elements in the two vectors or two matrices together.
3 M1 + M3 = [ ] + [ ] = [ ] Dimensionality: Matrices and vectors have to have the same dimensions. You cannot add a row vector with a column vector, or a 2x3 matrix with a 3x2 matrix. 1 [ 2] + [1 2 3] = DNE 3 Product Multiplication (*) WARNING: Dimensions of vectors and matrices have to match up properly. When multiplying two vectors and matrices, the number of columns of the first must match the number of rows of the second item. The result has the dimensions of the first item s rows and the second item s columns. (2x3 matrix)*(3x4 matrix) = (2x4 matrix) (1x3 vector)*(3x3 matrix) = (1x3 vector) (1x3 row vector)*(3x1 col vector) = (scalar value or 1x1) Vector Product Multiplication ( Result is either a scalar (inner product) or matrix (outer product). Go to the link to read up more on vector multiplication. [a b] [ c ] = a c + b d d Note: (1x2 * 2x1 vectors leads to one value. The left side s row is multiplied with each corresponding element in the right sides column. [ a b ] [ a c a d a e c d e] = [ b c b d b e ] Note: (2x1*1x3 vector becomes a 2x3 matrix. The first row on the left only has one element and it is multiplied with one element from each column on the right. Matrix Multiplication ( Two matrices always result in another matrix. The dimensionality needs to be confirmed first (inner dimensions must be equal as always). The same method is used as in vector multiplication. a b f g e + b h a f + b i a g + b j [ ] [e ] = [a c d h i j c e + d h c f + d i c g + d j ]
4 Note: 2x2 * 2x3 = 2x3 matrix. Element (1,1) in the resulting product is the first row elements multiplied and summed with the first column of the second matrix. Element (2,3) is the second row of the first matrix ([c,d]) times the third column of the second matrix ([g;j], etc. Element-wise multiplication (.*) Multiply the same element in each matrix or vector with a given value. Matrices and vectors have to be the same dimension! a b c h i g b h c i [ ]. [g ] = [a d e f j k l d j e k f l ] Note: In MATLAB, element-wise multiplication is denoted with a period followed by multiplication. You can also do division like this as well. Addition and subtraction are already element-wise operations. This covers the majority of the linear algebra concepts you will need for this class. The links above go into more detail, and any other questions can be addressed to the TA or professor. Questions Addressing array elements 1) What is V(5) in row vector V = [ ]? 1 2 2) What is M(2,3) in the matrix M = [ 9 8]? 0 5 3) What is M(3,2)? Matrix operations Underline/Box/Circle true or false for the following questions. 4) True or False? When adding two matrices, the dimensions of the two matrices must be equal. 5) True or False? When multiplying two matrices, the dimensions of the two matrices must be equal.
5 6) True or False? The product matrix A and matrix B always has dimensions equal to either A or B. 7) True or False? You can only multiply a scalar and a square matrix. Matrices: A,B,C, and D and Scalars: s and t are used in the following exercises A = [ ] B = [ ] C = [ ] D = [ ] s = 2 t = Compute the answers to the following expressions or indicate that there is no answer (DNE). + means addition, * means multiplication, * means element-by-element multiplication, means transpose of the matrix or vector. 8) A+s 9) B-s 10) D*t 11) A+D 12) A+B 13) A*C
6 14) A.*D 15) D*B 16) D*A 17) B.*B ) [ ] [ 0 1 0] =
Linear Algebra Review
CS 1674: Intro to Computer Vision Linear Algebra Review Prof. Adriana Kovashka University of Pittsburgh January 11, 2018 What are images? (in Matlab) Matlab treats images as matrices of numbers To proceed,
More informationx = 12 x = 12 1x = 16
2.2 - The Inverse of a Matrix We've seen how to add matrices, multiply them by scalars, subtract them, and multiply one matrix by another. The question naturally arises: Can we divide one matrix by another?
More informationOUTLINES. Variable names in MATLAB. Matrices, Vectors and Scalar. Entering a vector Colon operator ( : ) Mathematical operations on vectors.
1 LECTURE 3 OUTLINES Variable names in MATLAB Examples Matrices, Vectors and Scalar Scalar Vectors Entering a vector Colon operator ( : ) Mathematical operations on vectors examples 2 VARIABLE NAMES IN
More informationMatrices. A Matrix (This one has 2 Rows and 3 Columns) To add two matrices: add the numbers in the matching positions:
Matrices A Matrix is an array of numbers: We talk about one matrix, or several matrices. There are many things we can do with them... Adding A Matrix (This one has 2 Rows and 3 Columns) To add two matrices:
More informationPhysics 326G Winter Class 2. In this class you will learn how to define and work with arrays or vectors.
Physics 326G Winter 2008 Class 2 In this class you will learn how to define and work with arrays or vectors. Matlab is designed to work with arrays. An array is a list of numbers (or other things) arranged
More informationMATLAB for Experimental Research. Fall 2018 Vectors, Matrices, Matrix Operations
MATLAB for Experimental Research Fall 2018 Vectors, Matrices, Matrix Operations Matlab is more than a calculator! The array is a fundamental form that MATLAB uses to store and manipulate data. An array
More informationLecture 5: Matrices. Dheeraj Kumar Singh 07CS1004 Teacher: Prof. Niloy Ganguly Department of Computer Science and Engineering IIT Kharagpur
Lecture 5: Matrices Dheeraj Kumar Singh 07CS1004 Teacher: Prof. Niloy Ganguly Department of Computer Science and Engineering IIT Kharagpur 29 th July, 2008 Types of Matrices Matrix Addition and Multiplication
More informationMatrix algebra. Basics
Matrix.1 Matrix algebra Matrix algebra is very prevalently used in Statistics because it provides representations of models and computations in a much simpler manner than without its use. The purpose of
More informationChapter 1: Number and Operations
Chapter 1: Number and Operations 1.1 Order of operations When simplifying algebraic expressions we use the following order: 1. Perform operations within a parenthesis. 2. Evaluate exponents. 3. Multiply
More informationAH Matrices.notebook November 28, 2016
Matrices Numbers are put into arrays to help with multiplication, division etc. A Matrix (matrices pl.) is a rectangular array of numbers arranged in rows and columns. Matrices If there are m rows and
More informationLecture 2: Variables, Vectors and Matrices in MATLAB
Lecture 2: Variables, Vectors and Matrices in MATLAB Dr. Mohammed Hawa Electrical Engineering Department University of Jordan EE201: Computer Applications. See Textbook Chapter 1 and Chapter 2. Variables
More information0_PreCNotes17 18.notebook May 16, Chapter 12
Chapter 12 Notes BASIC MATRIX OPERATIONS Matrix (plural: Matrices) an n x m array of elements element a ij Example 1 a 21 = a 13 = Multiply Matrix by a Scalar Distribute scalar to all elements Addition
More informationPut the following equations to slope-intercept form then use 2 points to graph
Tuesday September 23, 2014 Warm-up: Put the following equations to slope-intercept form then use 2 points to graph 1. 4x - 3y = 8 8 x 6y = 16 2. 2x + y = 4 2x + y = 1 Tuesday September 23, 2014 Warm-up:
More informationTherefore, after becoming familiar with the Matrix Method, you will be able to solve a system of two linear equations in four different ways.
Grade 9 IGCSE A1: Chapter 9 Matrices and Transformations Materials Needed: Straightedge, Graph Paper Exercise 1: Matrix Operations Matrices are used in Linear Algebra to solve systems of linear equations.
More informationFinite Math - J-term Homework. Section Inverse of a Square Matrix
Section.5-77, 78, 79, 80 Finite Math - J-term 017 Lecture Notes - 1/19/017 Homework Section.6-9, 1, 1, 15, 17, 18, 1, 6, 9, 3, 37, 39, 1,, 5, 6, 55 Section 5.1-9, 11, 1, 13, 1, 17, 9, 30 Section.5 - Inverse
More informationMachine Learning for Signal Processing Fundamentals of Linear Algebra
Machine Learning for Signal Processing Fundamentals of Linear Algebra Class Sep 4 Instructor: Bhiksha Raj Sep 4-755/8-797 Administrivia Info on second TA still awaited from ECE Registration: Anyone on
More informationFreeMat Tutorial. 3x + 4y 2z = 5 2x 5y + z = 8 x x + 3y = -1 xx
1 of 9 FreeMat Tutorial FreeMat is a general purpose matrix calculator. It allows you to enter matrices and then perform operations on them in the same way you would write the operations on paper. This
More informationMaths for Signals and Systems Linear Algebra in Engineering. Some problems by Gilbert Strang
Maths for Signals and Systems Linear Algebra in Engineering Some problems by Gilbert Strang Problems. Consider u, v, w to be non-zero vectors in R 7. These vectors span a vector space. What are the possible
More informationChapter 2 and Supplements MATRICES
Finite Math B Chapter 2 + Supplements: MATRICES 1 A: Matrices, Basic Matrix Operations (Lessons 2.3 & 2.4 pg 86 107) A matrix is a rectangular array of numbers like: Chapter 2 and Supplements MATRICES
More information1 Overview of the standard Matlab syntax
1 Overview of the standard Matlab syntax Matlab is based on computations with matrices. All variables are matrices. Matrices are indexed from 1 (and NOT from 0 as in C!). Avoid using variable names i and
More informationMATLAB for beginners. KiJung Yoon, 1. 1 Center for Learning and Memory, University of Texas at Austin, Austin, TX 78712, USA
MATLAB for beginners KiJung Yoon, 1 1 Center for Learning and Memory, University of Texas at Austin, Austin, TX 78712, USA 1 MATLAB Tutorial I What is a matrix? 1) A way of representation for data (# of
More informationMATLAB Tutorial Matrices & Vectors MATRICES AND VECTORS
MATRICES AND VECTORS A matrix (m x n) with m rows and n columns, a column vector (m x 1) with m rows and 1 column, and a row vector (1 x m) with 1 row and m columns all can be used in MATLAB. Matrices
More informationLSN 4 Boolean Algebra & Logic Simplification. ECT 224 Digital Computer Fundamentals. Department of Engineering Technology
LSN 4 Boolean Algebra & Logic Simplification Department of Engineering Technology LSN 4 Key Terms Variable: a symbol used to represent a logic quantity Compliment: the inverse of a variable Literal: a
More informationIntroduction to MATLAB
CHEE MATLAB Tutorial Introduction to MATLAB Introduction In this tutorial, you will learn how to enter matrices and perform some matrix operations using MATLAB. MATLAB is an interactive program for numerical
More informationIntroduction to Matrix Operations in Matlab
Introduction to Matrix Operations in Matlab Gerald W. Recktenwald Department of Mechanical Engineering Portland State University gerry@pdx.edu ME 350: Introduction to Matrix Operations in Matlab Overview
More informationMathematical Operations with Arrays and Matrices
Mathematical Operations with Arrays and Matrices Array Operators (element-by-element) (important) + Addition A+B adds B and A - Subtraction A-B subtracts B from A.* Element-wise multiplication.^ Element-wise
More informationRapid growth of massive datasets
Overview Rapid growth of massive datasets E.g., Online activity, Science, Sensor networks Data Distributed Clusters are Pervasive Data Distributed Computing Mature Methods for Common Problems e.g., classification,
More informationPetShop (BYU Students, SIGGRAPH 2006)
Now Playing: PetShop (BYU Students, SIGGRAPH 2006) My Mathematical Mind Spoon From Gimme Fiction Released May 10, 2005 Geometric Objects in Computer Graphics Rick Skarbez, Instructor COMP 575 August 30,
More informationLab of COMP 406. MATLAB: Quick Start. Lab tutor : Gene Yu Zhao Mailbox: or Lab 1: 11th Sep, 2013
Lab of COMP 406 MATLAB: Quick Start Lab tutor : Gene Yu Zhao Mailbox: csyuzhao@comp.polyu.edu.hk or genexinvivian@gmail.com Lab 1: 11th Sep, 2013 1 Where is Matlab? Find the Matlab under the folder 1.
More informationMATLAB: The Basics. Dmitry Adamskiy 9 November 2011
MATLAB: The Basics Dmitry Adamskiy adamskiy@cs.rhul.ac.uk 9 November 2011 1 Starting Up MATLAB Windows users: Start up MATLAB by double clicking on the MATLAB icon. Unix/Linux users: Start up by typing
More informationMATH (CRN 13695) Lab 1: Basics for Linear Algebra and Matlab
MATH 495.3 (CRN 13695) Lab 1: Basics for Linear Algebra and Matlab Below is a screen similar to what you should see when you open Matlab. The command window is the large box to the right containing the
More informationVectors and Matrices. Chapter 2. Linguaggio Programmazione Matlab-Simulink (2017/2018)
Vectors and Matrices Chapter 2 Linguaggio Programmazione Matlab-Simulink (2017/2018) Matrices A matrix is used to store a set of values of the same type; every value is stored in an element MATLAB stands
More informationArrays, Matrices and Determinants
Arrays, Matrices and Determinants Spreadsheet calculations lend themselves almost automatically to the use of arrays of values. Arrays in Excel can be either one- or two-dimensional. For the solution of
More informationMatrix Multiplication
Matrix Multiplication CPS343 Parallel and High Performance Computing Spring 2018 CPS343 (Parallel and HPC) Matrix Multiplication Spring 2018 1 / 32 Outline 1 Matrix operations Importance Dense and sparse
More informationMAT 275 Laboratory 2 Matrix Computations and Programming in MATLAB
MATLAB sessions: Laboratory MAT 75 Laboratory Matrix Computations and Programming in MATLAB In this laboratory session we will learn how to. Create and manipulate matrices and vectors.. Write simple programs
More informationTUTORIAL 1 Introduction to Matrix Calculation using MATLAB TUTORIAL 1 INTRODUCTION TO MATRIX CALCULATION USING MATLAB
INTRODUCTION TO MATRIX CALCULATION USING MATLAB Learning objectives Getting started with MATLAB and it s user interface Learn some of MATLAB s commands and syntaxes Get a simple introduction to use of
More informationConstraint-based Metabolic Reconstructions & Analysis H. Scott Hinton. Matlab Tutorial. Lesson: Matlab Tutorial
1 Matlab Tutorial 2 Lecture Learning Objectives Each student should be able to: Describe the Matlab desktop Explain the basic use of Matlab variables Explain the basic use of Matlab scripts Explain the
More informationOne-dimensional Array
One-dimensional Array ELEC 206 Prof. Siripong Potisuk 1 Defining 1-D Array Also known as a vector A list of numbers arranged in a row row vector or a column column vector A scalar variable is a one-element
More informationIdentity Matrix: >> eye(3) ans = Matrix of Ones: >> ones(2,3) ans =
Very Basic MATLAB Peter J. Olver January, 2009 Matrices: Type your matrix as follows: Use space or, to separate entries, and ; or return after each row. >> [;5 0-3 6;; - 5 ] or >> [,5,6,-9;5,0,-3,6;7,8,5,0;-,,5,]
More informationExercise Set Decide whether each matrix below is an elementary matrix. (a) (b) (c) (d) Answer:
Understand the relationships between statements that are equivalent to the invertibility of a square matrix (Theorem 1.5.3). Use the inversion algorithm to find the inverse of an invertible matrix. Express
More informationMATH 2221A Mathematics Laboratory II
MATH 2221A Mathematics Laboratory II Lab Assignment 1 Name: Class: Student ID.: In this assignment, you are asked to run MATLAB demos to see MATLAB at work. The color version of this assignment can be
More informationIntroduction to MATLAB for Engineers, Third Edition
PowerPoint to accompany Introduction to MATLAB for Engineers, Third Edition William J. Palm III Chapter 2 Numeric, Cell, and Structure Arrays Copyright 2010. The McGraw-Hill Companies, Inc. This work is
More informationMatrix Multiplication
Matrix Multiplication CPS343 Parallel and High Performance Computing Spring 2013 CPS343 (Parallel and HPC) Matrix Multiplication Spring 2013 1 / 32 Outline 1 Matrix operations Importance Dense and sparse
More informationLab 0a: Introduction to MATLAB
http://www.comm.utoronto.ca/~dkundur/course/real-time-digital-signal-processing/ Page 1 of 1 Lab 0a: Introduction to MATLAB Professor Deepa Kundur Introduction and Background Welcome to your first real-time
More informationMachine Learning for Signal Processing Fundamentals of Linear Algebra
Machine Learning for Signal Processing Fundamentals of Linear Algebra Class 3 Sep 3 Instructor: Bhiksha Raj 3 Sep 3-755/8-797 Administrivia Change of classroom: BH A5 Being broadcast to west coast Registration:
More informationIntroduction to Matlab. By: Hossein Hamooni Fall 2014
Introduction to Matlab By: Hossein Hamooni Fall 2014 Why Matlab? Data analytics task Large data processing Multi-platform, Multi Format data importing Graphing Modeling Lots of built-in functions for rapid
More informationChapter 18 out of 37 from Discrete Mathematics for Neophytes: Number Theory, Probability, Algorithms, and Other Stuff by J. M. Cargal.
Chapter 8 out of 7 from Discrete Mathematics for Neophytes: Number Theory, Probability, Algorithms, and Other Stuff by J. M. Cargal 8 Matrices Definitions and Basic Operations Matrix algebra is also known
More informationArmstrong State University Engineering Studies MATLAB Marina 2D Arrays and Matrices Primer
Armstrong State University Engineering Studies MATLAB Marina 2D Arrays and Matrices Primer Prerequisites The 2D Arrays and Matrices Primer assumes knowledge of the MATLAB IDE, MATLAB help, arithmetic operations,
More information18.02 Multivariable Calculus Fall 2007
MIT OpenCourseWare http://ocw.mit.edu 18.02 Multivariable Calculus Fall 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. 18.02 Problem Set 4 Due Thursday
More informationComputer Packet 1 Row Operations + Freemat
Computer Packet 1 Row Operations + Freemat For this packet, you will use a website to do row operations, and then learn to use a general purpose matrix calculator called FreeMat. To reach the row operations
More informationTeachers Teaching with Technology (Scotland) Teachers Teaching with Technology. Scotland T 3. Matrices. Teachers Teaching with Technology (Scotland)
Teachers Teaching with Technology (Scotland) Teachers Teaching with Technology T 3 Scotland Matrices Teachers Teaching with Technology (Scotland) MATRICES Aim To demonstrate how the TI-83 can be used to
More informationMAT 343 Laboratory 1 Matrix and Vector Computations in MATLAB
MAT 343 Laboratory 1 Matrix and Vector Computations in MATLAB In this laboratory session we will learn how to 1. Create matrices and vectors. 2. Manipulate matrices and create matrices of special types
More informationMATLAB Basics. Configure a MATLAB Package 6/7/2017. Stanley Liang, PhD York University. Get a MATLAB Student License on Matworks
MATLAB Basics Stanley Liang, PhD York University Configure a MATLAB Package Get a MATLAB Student License on Matworks Visit MathWorks at https://www.mathworks.com/ It is recommended signing up with a student
More informationMAT 343 Laboratory 1 Matrix and Vector Computations in MATLAB
MAT 343 Laboratory 1 Matrix and Vector Computations in MATLAB MATLAB is a computer software commonly used in both education and industry to solve a wide range of problems. This Laboratory provides a brief
More informationIntroduction and MATLAB Basics
Introduction and MATLAB Basics Lecture Computer Room MATLAB MATLAB: Matrix Laboratory, designed for matrix manipulation Pro: Con: Syntax similar to C/C++/Java Automated memory management Dynamic data types
More informationMATLAB COURSE FALL 2004 SESSION 1 GETTING STARTED. Christian Daude 1
MATLAB COURSE FALL 2004 SESSION 1 GETTING STARTED Christian Daude 1 Introduction MATLAB is a software package designed to handle a broad range of mathematical needs one may encounter when doing scientific
More informationHW0 v3. October 2, CSE 252A Computer Vision I Fall Assignment 0
HW0 v3 October 2, 2018 1 CSE 252A Computer Vision I Fall 2018 - Assignment 0 1.0.1 Instructor: David Kriegman 1.0.2 Assignment Published On: Tuesday, October 2, 2018 1.0.3 Due On: Tuesday, October 9, 2018
More informationArray Accessing and Strings ENGR 1181 MATLAB 3
Array Accessing and Strings ENGR 1181 MATLAB 3 Array Accessing In The Real World Recall from the previously class that seismic data is important in structural design for civil engineers. Accessing data
More informationCPSC 340 Assignment 0 (due Friday September 15 ATE)
CPSC 340 Assignment 0 (due Friday September 5 ATE) Rationale for Assignment 0 : CPSC 340 is tough because it combines knowledge and skills across several disciplines. To succeed in the course, you will
More informationCourse Number 432/433 Title Algebra II (A & B) H Grade # of Days 120
Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number
More informationMathematics. 2.1 Introduction: Graphs as Matrices Adjacency Matrix: Undirected Graphs, Directed Graphs, Weighted Graphs CHAPTER 2
CHAPTER Mathematics 8 9 10 11 1 1 1 1 1 1 18 19 0 1.1 Introduction: Graphs as Matrices This chapter describes the mathematics in the GraphBLAS standard. The GraphBLAS define a narrow set of mathematical
More informationParallel development II 11/5/18
Parallel development II 11/5/18 Administrivia HW 6 due tonight (heat diffusion in MPI) Final project Worth ~2 homeworks (35 points) and should have this scope Work individually or in teams of two (team
More informationENGR 1181 MATLAB 02: Array Creation
ENGR 1181 MATLAB 02: Array Creation Learning Objectives: Students will read Chapter 2.1 2.4 of the MATLAB book before coming to class. This preparation material is provided to supplement this reading.
More informationMatrices. Chapter Matrix A Mathematical Definition Matrix Dimensions and Notation
Chapter 7 Introduction to Matrices This chapter introduces the theory and application of matrices. It is divided into two main sections. Section 7.1 discusses some of the basic properties and operations
More informationMatlab- Command Window Operations, Scalars and Arrays
1 ME313 Homework #1 Matlab- Command Window Operations, Scalars and Arrays Last Updated August 17 2012. Assignment: Read and complete the suggested commands. After completing the exercise, copy the contents
More informationExperiment 1: Introduction to MATLAB I. Introduction. 1.1 Objectives and Expectations: 1.2 What is MATLAB?
Experiment 1: Introduction to MATLAB I Introduction MATLAB, which stands for Matrix Laboratory, is a very powerful program for performing numerical and symbolic calculations, and is widely used in science
More informationMathematics 4330/5344 #1 Matlab and Numerical Approximation
David S. Gilliam Department of Mathematics Texas Tech University Lubbock, TX 79409 806 742-2566 gilliam@texas.math.ttu.edu http://texas.math.ttu.edu/~gilliam Mathematics 4330/5344 #1 Matlab and Numerical
More informationAlgebra 1. Standard 11 Operations of Expressions. Categories Combining Expressions Multiply Expressions Multiple Operations Function Knowledge
Algebra 1 Standard 11 Operations of Expressions Categories Combining Expressions Multiply Expressions Multiple Operations Function Knowledge Summative Assessment Date: Wednesday, February 13 th Page 1
More informationAddition/Subtraction flops. ... k k + 1, n (n k)(n k) (n k)(n + 1 k) n 1 n, n (1)(1) (1)(2)
1 CHAPTER 10 101 The flop counts for LU decomposition can be determined in a similar fashion as was done for Gauss elimination The major difference is that the elimination is only implemented for the left-hand
More informationDr Richard Greenaway
SCHOOL OF PHYSICS, ASTRONOMY & MATHEMATICS 4PAM1008 MATLAB 3 Creating, Organising & Processing Data Dr Richard Greenaway 3 Creating, Organising & Processing Data In this Workshop the matrix type is introduced
More informationIntroduction to Matlab
Introduction to Matlab Andreas C. Kapourani (Credit: Steve Renals & Iain Murray) 9 January 08 Introduction MATLAB is a programming language that grew out of the need to process matrices. It is used extensively
More informationFactoring. Factor: Change an addition expression into a multiplication expression.
Factoring Factor: Change an addition expression into a multiplication expression. 1. Always look for a common factor a. immediately take it out to the front of the expression, take out all common factors
More informationLAB 2 VECTORS AND MATRICES
EN001-4: Intro to Computational Design Tufts University, Department of Computer Science Prof. Soha Hassoun LAB 2 VECTORS AND MATRICES 1.1 Background Overview of data types Programming languages distinguish
More informationMatrix Multiplication
Matrix Multiplication Nur Dean PhD Program in Computer Science The Graduate Center, CUNY 05/01/2017 Nur Dean (The Graduate Center) Matrix Multiplication 05/01/2017 1 / 36 Today, I will talk about matrix
More informationChapter 2. MATLAB Fundamentals
Chapter 2. MATLAB Fundamentals Choi Hae Jin Chapter Objectives q Learning how real and complex numbers are assigned to variables. q Learning how vectors and matrices are assigned values using simple assignment,
More informationCME 192: Introduction to Matlab
CME 192: Introduction to Matlab Matlab Basics Brett Naul January 15, 2015 Recap Using the command window interactively Variables: Assignment, Identifier rules, Workspace, command who and whos Setting the
More informationIntroduction to MATLAB
Computational Photonics, Seminar 0 on Introduction into MATLAB, 3.04.08 Page Introduction to MATLAB Operations on scalar variables >> 6 6 Pay attention to the output in the command window >> b = b = >>
More informationIntroduction to Programming in C Department of Computer Science and Engineering. Lecture No. #16 Loops: Matrix Using Nested for Loop
Introduction to Programming in C Department of Computer Science and Engineering Lecture No. #16 Loops: Matrix Using Nested for Loop In this section, we will use the, for loop to code of the matrix problem.
More information1 Introduction to Matlab
1 Introduction to Matlab 1. What is Matlab? Matlab is a computer program designed to do mathematics. You might think of it as a super-calculator. That is, once Matlab has been started, you can enter computations,
More informationDaily Warm-Ups ALGEBRA
WALCH EDUCATION Daily Warm-Ups ALGEBRA Common Core State Standards Betsy Berry, Ph.D. Indiana University Purdue University Fort Wayne Table of Contents iii Introduction.......................................
More information4. Linear Algebra. In maple, it is first necessary to call in the linear algebra package. This is done by the following maple command
4. Linear Algebra Vectors and Matrices Maple has this wonderful linear algebra package. It has to do with vectors and matrices. A vector is simply an array of numbers written as () where a matrix is written
More informationA Quick Introduction to MATLAB/Octave. Kenny Marino, Nupur Chatterji
A Quick Introduction to MATLAB/Octave Kenny Marino, Nupur Chatterji Basics MATLAB (and it s free cousin Octave) is an interpreted language Two basic kinds of files Scripts Functions MATLAB is optimized
More informationMAT 275 Laboratory 2 Matrix Computations and Programming in MATLAB
MATLAB sessions: Laboratory MAT 75 Laboratory Matrix Computations and Programming in MATLAB In this laboratory session we will learn how to. Create and manipulate matrices and vectors.. Write simple programs
More informationIntroduction. Matlab for Psychologists. Overview. Coding v. button clicking. Hello, nice to meet you. Variables
Introduction Matlab for Psychologists Matlab is a language Simple rules for grammar Learn by using them There are many different ways to do each task Don t start from scratch - build on what other people
More informationMATLAB NOTES. Matlab designed for numerical computing. Strongly oriented towards use of arrays, one and two dimensional.
MATLAB NOTES Matlab designed for numerical computing. Strongly oriented towards use of arrays, one and two dimensional. Excellent graphics that are easy to use. Powerful interactive facilities; and programs
More informationSystems of Inequalities and Linear Programming 5.7 Properties of Matrices 5.8 Matrix Inverses
5 5 Systems and Matrices Systems and Matrices 5.6 Systems of Inequalities and Linear Programming 5.7 Properties of Matrices 5.8 Matrix Inverses Sections 5.6 5.8 2008 Pearson Addison-Wesley. All rights
More informationMath 1526: Excel Lab 5 Summer 2004
Math 5: Excel Lab 5 Summer Matrix Algebra In order to complete matrix operations using Excel, you must learn how to use arrays. First you must learn how to enter a matrix into a spreadsheet. For practice,
More informationAN INTRODUCTION TO MATLAB
AN INTRODUCTION TO MATLAB 1 Introduction MATLAB is a powerful mathematical tool used for a number of engineering applications such as communication engineering, digital signal processing, control engineering,
More informationIntroduction to MATLAB
Introduction to MATLAB Introduction MATLAB is an interactive package for numerical analysis, matrix computation, control system design, and linear system analysis and design available on most CAEN platforms
More informationARRAYS COMPUTER PROGRAMMING. By Zerihun Alemayehu
ARRAYS COMPUTER PROGRAMMING By Zerihun Alemayehu AAiT.CED Rm. E119B BASIC RULES AND NOTATION An array is a group of variables or constants, all of the same type, that are referred to by a single name.
More informationGetting started with MATLAB
Getting started with MATLAB You can work through this tutorial in the computer classes over the first 2 weeks, or in your own time. The Farber and Goldfarb computer classrooms have working Matlab, but
More informationMAT 275 Laboratory 2 Matrix Computations and Programming in MATLAB
MAT 75 Laboratory Matrix Computations and Programming in MATLAB In this laboratory session we will learn how to. Create and manipulate matrices and vectors.. Write simple programs in MATLAB NOTE: For your
More informationAn array is a collection of data that holds fixed number of values of same type. It is also known as a set. An array is a data type.
Data Structures Introduction An array is a collection of data that holds fixed number of values of same type. It is also known as a set. An array is a data type. Representation of a large number of homogeneous
More informationControl Structures. March 1, Dr. Mihail. (Dr. Mihail) Control March 1, / 28
Control Structures Dr. Mihail March 1, 2015 (Dr. Mihail) Control March 1, 2015 1 / 28 Overview So far in this course, MATLAB programs consisted of a ordered sequence of mathematical operations, functions,
More informationMatrix Inverse 2 ( 2) 1 = 2 1 2
Name: Matrix Inverse For Scalars, we have what is called a multiplicative identity. This means that if we have a scalar number, call it r, then r multiplied by the multiplicative identity equals r. Without
More informationAMATH 352: MATLAB Tutorial written by Peter Blossey Department of Applied Mathematics University of Washington Seattle, WA
AMATH 352: MATLAB Tutorial written by Peter Blossey Department of Applied Mathematics University of Washington Seattle, WA MATLAB (short for MATrix LABoratory) is a very useful piece of software for numerical
More informationMatrices 4: use of MATLAB
Matrices 4: use of MATLAB Anthony Rossiter http://controleducation.group.shef.ac.uk/indexwebbook.html http://www.shef.ac.uk/acse Department of Automatic Control and Systems Engineering Introduction The
More informationIf a b or a c, then a bc If a b and b c, then a c Every positive integer n > 1 can be written uniquely as n = p 1 k1 p 2 k2 p 3 k3 p 4 k4 p s
Points missed: Student's Name: Total score: /100 points East Tennessee State University Department of Computer and Information Sciences CSCI 1900 (Tarnoff) Math for Computer Science TEST 1 for Summer Term,
More informationIntroduction to MatLab. Introduction to MatLab K. Craig 1
Introduction to MatLab Introduction to MatLab K. Craig 1 MatLab Introduction MatLab and the MatLab Environment Numerical Calculations Basic Plotting and Graphics Matrix Computations and Solving Equations
More informationGraphBLAS Mathematics - Provisional Release 1.0 -
GraphBLAS Mathematics - Provisional Release 1.0 - Jeremy Kepner Generated on April 26, 2017 Contents 1 Introduction: Graphs as Matrices........................... 1 1.1 Adjacency Matrix: Undirected Graphs,
More information