INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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LU DECOMPOSITION METHOD

CHAPTER 07

 

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for LU Decomposition [PDF] [DOC]

Objectives of LU Decomposition [PDF] [DOC]

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

LU Decomposition: Basis [YOUTUBE 9:02] [TRANSCRIPT]

LU Decomposition Method: Example  [YOUTUBE 10:29] [TRANSCRIPT]

Why LU Decomposition:  Part 1 [YOUTUBE 4:58] [TRANSCRIPT]

Why LU Decomposition:  Part 2 [YOUTUBE 8:05] [TRANSCRIPT]

Decomposing a Square Matrix:  Part 1 of 2 [YOUTUBE 6:56] [TRANSCRIPT]

Decomposing a Square Matrix:  Part 2 of 2 [YOUTUBE 4:37] [TRANSCRIPT]

Finding Inverse of a Matrix Using LU Decomposition: Background [YOUTUBE 6:03] [TRANSCRIPT]

Finding Inverse of a Matrix Using LU Decomposition: Example [YOUTUBE 10:20] [TRANSCRIPT]

MULTIPLE CHOICE TEST
  Test Your Knowledge of LU Decomposition [FLASH] [PDF] [DOC]  [SOLUTION]
PROBLEM SET
  Problem set for LU Decomposition  [PDF] [DOC]
PRESENTATIONS
  PowerPoint Presentation on LU Decomposition Method [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.