INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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BINARY OPERATIONS

CHAPTER 03

 

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Binary Operations [PDF] [DOC]

Objectives of Binary Operations [PDF] [DOC]

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

Adding two matrices Theory [YOUTUBE 1:54] [TRANSCRIPT]

Adding two matrices Example  [YOUTUBE 2:11] [TRANSCRIPT]

 

Subtracting two matrices Theory [YOUTUBE 1:40][TRANSCRIPT]

Subtracting two matrices Example [YOUTUBE 2:05][TRANSCRIPT]

 

Multiplying two matrices Theory [YOUTUBE 4:33][TRANSCRIPT]

Multiplying two matrices Example [YOUTUBE 6:20] [TRANSCRIPT]

 

Product of a scalar and a matrix Theory [YOUTUBE 1:37][TRANSCRIPT]

Product of a scalar and a matrix Example [YOUTUBE 1:45] [TRANSCRIPT]
 

Linear combination of matrices Theory  [YOUTUBE 2:04] [TRANSCRIPT]

Linear combination of matrices Example [YOUTUBE 3:57][TRANSCRIPT]

 

Rules of binary matrix operations Part 1 of 4 [YOUTUBE 1:47] [TRANSCRIPT]

Rules of binary matrix operations Part 2 of 4  [YOUTUBE 1:38][TRANSCRIPT]

Rules of binary matrix operations Part 3 of 4 [YOUTUBE 2:50] [TRANSCRIPT]
Rules of binary matrix operations Part 4 of 4  [YOUTUBE 2:31] [TRANSCRIPT]

Is matrix multiplication commutative?  [YOUTUBE 4:01][TRANSCRIPT]

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

PowerPoint Presentation of Binary Operations [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.