Row sum norm Theory: Introduction to Matrix Algebra: Autar Kaw

INTRODUCTION TO MATRIX ALGEBRA Transforming Matrix Algebra for the STEM Undergraduate

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ADEQUACY OF SOLUTIONS (CHAPTER 9)

Row sum norm of a matrix Theory

By Autar Kaw

TOPIC DESCRIPTION

Learn what the theory of row sum norm of a matrix is.

This video teaches you the theory of row sum norm of a matrix.

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]

COMPLETE RESOURCES

Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, multiple-choice questions, and problem sets on Adequacy of solutions.

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 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.