Number of significant figures: Video Lecture : 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)

Number of significant digits correct in my solution vector Theory

By Autar Kaw

TOPIC DESCRIPTION

Learn the theory number of significant digits correct in my solution vector.

This video teaches you the theory number of significant digits correct in my 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]

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.