MAT 4725 Numerical Analysis Section 7.1 (Part II) Norms of Vectors and Matrices

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Presentation transcript:

MAT 4725 Numerical Analysis Section 7.1 (Part II) Norms of Vectors and Matrices

Test Maple

7.1 Norms of Vectors and Matrices Norms on real vector space (Part I) Norms on Matrices (Part II)

Spaces of nxn Matrices Identify

Definition 7.8

Theorem 7.9 (Natural Matrix Norm) HW

l 2 Norm

l  Norm

Theorem 7.11 Come Back

Example 1

Equivalent Definition for the Natural Matrix Norm

Corollary 7.10

Classwork Prove Theorem Step by step instructions are given. Work in a group of 2 If you do not like “n”, you can work with “3” first. Reverse approach – For part 1, you may do part (c) first.

Homework Download HW Read Section 7.2