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Relating changes in coefficient matrix to changes in solution vector Proof

By Autar Kaw

TOPIC DESCRIPTION

Learn the proof to relating changes in coefficient matrix to changes in solution vector.

This video teaches you the proof to relating changes in coefficient matrix to changes in solution vector.

ALL VIDEOS FOR THIS TOPIC

ill-conditioned and well-conditioned system of equations [YOUTUBE 10:12] [TRANSCRIPT]

Row sum norm of a matrix Theory  [YOUTUBE 2:34]  [TRANSCRIPT]

Row sum norm of a matrix Example  [YOUTUBE 3:06]  [TRANSCRIPT]

How is the norm related to the conditioning of a system of equations Part 1 of 2  [YOUTUBE 8:55] [TRANSCRIPT]

How is the norm related to the conditioning of a system of equations Part 2 of 2 [YOUTUBE 5:58] [TRANSCRIPT]

Properties of norms [YOUTUBE 3:37] [TRANSCRIPT]

Relating changes in coefficient matrix to changes in solution vector [YOUTUBE 4:18]  [TRANSCRIPT]

Relating changes in coefficient matrix to changes in solution vector Proof [YOUTUBE 8:46]  [TRANSCRIPT]

Relating changes in right hand side vector to changes in solution vector  [YOUTUBE 3:12] [TRANSCRIPT]

Number of significant digits correct in my solution vector Theory [YOUTUBE 4:00]  [TRANSCRIPT]
Number of significant digits correct in my solution vector Example 1  [YOUTUBE 3:57]  [TRANSCRIPT]

Number of significant digits correct in my solution vector Example 2 [YOUTUBE 4:26]  [TRANSCRIPT]

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 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, , 0836805, 1322586.  Any opinions, findings, and conclusions or 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.