Chapter 09 Relating Changes in Coefficient Matrix to Changes in Solution Vector Proof

Adequacy of Solutions (CHAPTER 9)

Topic

Relating changes in the coefficient matrix to changes in the solution vector: Proof

Summary

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

Learning Objective

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

Transcript

Read the transcript

All Videos for this Topic

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

- - Row sum norm of a matrix Theory [YOUTUBE 2:34]
  - Row sum norm of a matrix Example [YOUTUBE 3:06]
  - How is the norm related to the conditioning of a system of equations Part 1 of 2 [YOUTUBE 8:55]
  - How is the norm related to the conditioning of a system of equations Part 2 of 2 [YOUTUBE 5:58]
  - Properties of norms [YOUTUBE 3:37]

- - Relating changes in coefficient matrix to changes in solution vector [YOUTUBE 4:18]
  - Relating changes in coefficient matrix to changes in solution vector Proof [YOUTUBE 8:46]
  - Relating changes in right hand side vector to changes in solution vector [YOUTUBE 3:12]

- - Number of significant digits correct in my solution vector Theory [YOUTUBE 4:00]
  - Number of significant digits correct in my solution vector Example 1 [YOUTUBE 3:57]
  - Number of significant digits correct in my solution vector Example 2 [YOUTUBE 4:26]

Complete Resources

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