INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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UNARY OPERATIONS

CHAPTER 04

 

PRE-REQUISITES & OBJECTIVES

 

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

Objectives of Unary Operations [PDF] [DOC]

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

Transpose of a matrix [YOUTUBE 4:12] [TRANSCRIPT]

Symmetric matrix  [YOUTUBE 3:20] [TRANSCRIPT]

Skew symmetric matrix [YOUTUBE 3:12][TRANSCRIPT]

 

Trace of a matrix [YOUTUBE 2:03][TRANSCRIPT]

 

Determinant of a matrix using minors Theory [YOUTUBE 4:41][TRANSCRIPT]

Determinant of a matrix using cofactors Theory [YOUTUBE 3:26] [TRANSCRIPT]

Determinant of a matrix using minors Example [YOUTUBE 6:26][TRANSCRIPT]

Determinant of a matrix using cofactors Example [YOUTUBE 5:31] [TRANSCRIPT]
Theorems on determinants Part 1 of 4  [YOUTUBE 1:36] [TRANSCRIPT]

Theorems on determinants Part 2 of 4 [YOUTUBE 3:35] [TRANSCRIPT]

Theorems on determinants Part 3 of 4 [YOUTUBE 3:21] [TRANSCRIPT]

Theorems on determinants Part 4 of 4  [YOUTUBE 2:42][TRANSCRIPT]

MULTIPLE CHOICE TEST
  Test Your Knowledge of Unary Operations [FLASH] [PDF] [DOC] [SOLUTION]
PROBLEM SET
  Problem Set for Unary Matrix Operations [PDF]  [DOC]
PRESENTATIONS
 

PowerPoint Presentation of Unary 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.