Gaussian elimination Samenvattingen, Aantekeningen en Examens
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C959 WGU unit 4 questions with 100% correct answers
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diagonal matrix 
square matrix which all non-diagonal entries are 0 
 
diagonal entries can be 0 
 
 
 
identity matrix 
diagonal matrix which all entries along main diagonal is 1, all other entries = 0 
 
 
 
can different sized matrices be added? 
no 
 
 
 
matrix addition 
 
[3|-4] + [-2|8] 
[1|0] + [-5|-3] 
= 
[3+-2|-4+8] 
[1+-5|0+-3] 
 
= 
[1|4] 
[-4|-3] 
 
 
 
scalar 
refers to real numbers 
 
ex_ 3, -5.1, π 
 
 
 
scalar multiple 
each entry is multiplied by scalar 
 
 
 
multiplying mat...
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MATRIX ANALYSIS AND APPLIED LINEAR ALGEBRA
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Contents 
Preface. . . . . . . . . . . . . . . . . . . . . . . ix 
1. Linear Equations . . . . . . . . . . . . . . 1 
1.1 Introduction . . . . . . . . . . . . . . . . . . 1 
1.2 Gaussian Elimination and Matrices . . . . . . . . 3 
1.3 Gauss–Jordan Method . . . . . . . . . . . . . . 15 
1.4 Two-Point BoundaryV alue Problems . . . . . . . 18 
1.5 Making Gaussian Elimination Work . . . . . . . . 21 
1.6 Ill-Conditioned Systems . . . . . . . . . . . . . 33 
2. Rectangular Systems and Echelon Forms...
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OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions.
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OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions. 1 Essential Prerequisites 1 1.1 Prerequ isites . 1 1.2 Thinking Like a Mathematician . . 7 1.3 Prerequisite Topics Review . . 7 2 Functions 13 2.1 Functions 13 2.2 Linear and Absolute Value Functions . 18 2.3 Composition of Functions . . 28 2.4 A Function Recursive Process 30 2.5 Function Transformations . . 31 2.6 Inverse of a Function ....
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Summary Data Analysis & Retrieval Midterm
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All subjects that are discussed in the first part of the Data Analysis & Retrieval (INFOB3DAR) course for the midterm, clearly summarized. Based on the lectures and the book.
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UNDERGRADUATE TEXTS IN MATHEMATICS :APPLIED LINEAR ALGEBRA
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Table of Contents 
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii 
Chapter 1. LinearAlgebraic Systems . . . . . . . . . . . . . . . 1 
1.1. Solution ofLinear Systems . . . . . . . . . . . . . . . . . . . . 1 
1.2. Matrices andVectors . . . . . . . . . . . . . . . . . . . . . . . 3 
MatrixArithmetic . . . . . . . . . . . . . . . . . . . . . . 5 
1.3. Gaussian Elimination—RegularCase . . . . . . . . . . . . . . . 12 
ElementaryMatrices . . . . . . . . . . . . . . . . . . . ....
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MATH 133 Final Exam 2023 With Complete solution
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MATH 133 Final Exam 2023 With Complete solution
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Exercises in Applied Linear Algebra
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Table of Contents 
Preface vii 
1 Preliminaries 1 
1.1 Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 
1.1.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 
1.1.2 Answers for Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 
1.2 Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 
1.2.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . ...
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COS2633 - Numerical Methods 1 Summary
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This is a summary of all the chapters needed for the module COS2633 - Numerical Methods 1 from UNISA. 
Chapters 1 - 7, 8.1 and 10.2 are covered
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MAT3004 Applied Linear Algebra
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Pre-requisite MAT2002 Applications of Differential and 
Difference Equations 
Syllabus Version 
1.1 
Course Objectives 
1. Understanding basic concepts of linear algebra to illustrate its power and utility through 
applications to computer science and Engineering. 
2. Apply the concepts of vector spaces, linear transformations, matrices and inner product 
spaces in engineering. 
3. Solve problems in cryptography, computer graphics and wavelet transforms 
Course Outcomes 
At the end of this cours...
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MAT1503 Assignment 3 2021
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UNISA MAT1503 Linear Algebra Assignment THREE 2021 solutions. The necessary working is shown when each problem is solved. Topics covered are: 
Systems of linear equations. 
Identifying the number of solutions to a system of linear equations. 
Gaussian elimination. 
The row echelon form of a matrix. 
Invertible matrices. 
Determinants. 
Symmetric matrices. 
Skew symmetric matrices. 
Elementary matrices. 
Minors. 
Cofactors. 
Adjoint matrices.
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