INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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INTRODUCTION

CHAPTER 01

 

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Introduction [PDF] [DOC]

Objectives of Introduction [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter on Introduction  [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

What is a matrix? [YOUTUBE 2:22] [TRANSCRIPT]

 

What is a row vector?  [YOUTUBE 1:24] [TRANSCRIPT]

What is a column vector? [YOUTUBE 1:58] [TRANSCRIPT]

 

What is a submatrix? [YOUTUBE 2:44] [TRANSCRIPT]

 

What is a square matrix? [YOUTUBE 1:44] [TRANSCRIPT]

 

What is an upper triangular matrix? [YOUTUBE 3:02]  [TRANSCRIPT]

What is a lower triangular matrix? [YOUTUBE 3:14]  [TRANSCRIPT]

What is an identity matrix? [YOUTUBE 2:02] [TRANSCRIPT]

Diagonally dominant matrix [YOUTUBE 7:22]  [TRANSCRIPT]
 

Equal matrices [YOUTUBE 2:54]  [TRANSCRIPT]

MULTIPLE CHOICE TEST
  Test Your Knowledge of Introduction  [FLASH] [PDF] [DOC]  [SOLUTION]
PROBLEM SET
  Problem set for Introduction [PDF]  [DOC]
PRESENTATIONS
 

PowerPoint Presentation of Introduction [PDF] [PPT]

RELATED TOPICS

 

Introduction

Vectors

Binary Operations

Unary Operations

System of Equations

Gaussian Elimination

Gauss-Seidel Method

LU Decomposition

Adequacy of Solutions

Eigenvalues and Eigenvectors

 

 


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This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions orCreative Commons License recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Based on a work at http://mathforcollege.com/ma.  Introduction to Matrix Algebra is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.