INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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LU DECOMPOSITION METHOD (CHAPTER 04.07)

 

Decomposing A Square Matrix : Part 1 of 2

 

By Autar Kaw



TOPIC DESCRIPTION
 

Learn via an example how to take a square matrix [A] and decompose it into LU form.

 

This video teaches you how to decompose a square matrix into LU form.


ALL VIDEOS FOR THIS TOPIC
 

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]


COMPLETE RESOURCES
  Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, worksheets to illustrate the method and its convergence, and multiple-choice questions on LU decomposition.

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved.

Questions, suggestions or comments, contact kaw@usf.edu 

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.