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

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Presentation on theme: "MAT 4725 Numerical Analysis Section 7.1 (Part II) Norms of Vectors and Matrices"— Presentation transcript:

1 MAT 4725 Numerical Analysis Section 7.1 (Part II) Norms of Vectors and Matrices http://myhome.spu.edu/lauw

2 Test Maple

3 7.1 Norms of Vectors and Matrices Norms on real vector space (Part I) Norms on Matrices (Part II)

4 Spaces of nxn Matrices Identify

5 Definition 7.8

6 Theorem 7.9 (Natural Matrix Norm) HW

7 l 2 Norm

8

9 l  Norm

10 Theorem 7.11 Come Back

11 Example 1

12

13 Equivalent Definition for the Natural Matrix Norm

14

15 Corollary 7.10

16 Classwork Prove Theorem 7.11. 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.

17 Homework Download HW Read Section 7.2


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