Adequacy of Simultaneous Linear Equations

INTRODUCTION TO MATRIX ALGEBRA Transforming Matrix Algebra for the STEM Undergraduate

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ADEQUACY OF SOLUTIONS CHAPTER 09
PRE-REQUISITES & OBJECTIVES
	Pre-Requisites for Adequacy of Solutions [PDF] [DOC] Objectives of Adequacy of Solutions [PDF] [DOC]
TEXTBOOK CHAPTER
	Textbook Chapter of Adequacy of Solutions [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
	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]
PRESENTATIONS
	Power Point Presentation on Adequacy of Solutions [PDF] [PPT]
MULTIPLE CHOICE TEST
	Test Your Knowledge of Adequacy of Solutions [FLASH] [PDF] [DOC] [SOLUTION]
PROBLEM SET
	Problem set for Adequacy of Solutions [PDF] [DOC]
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 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.