Chapter 09 – Adequacy of Solutions

Prerequisites & 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 [HTML] [PDF] [DOC] [SOLUTION]

Problem Set

- - Problem set for Adequacy of Solutions [PDF] [DOC]

Related Topics