(9) For any eigenvalue A of the nonsingular matrix A with any natural norm, then (a) I| A || S1시S (b)<1a1< || A|| All I| A|| >IYl> || v || (P)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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(9) For any eigenvalue A of the nonsingular matrix A with any natural norm, then
(a) || A || S | |ST
(b)<1시<1 A|
I| A||
(c)s1|5|| ||
(d) || A || < | A |<T
I| A||
Transcribed Image Text:(9) For any eigenvalue A of the nonsingular matrix A with any natural norm, then (a) || A || S | |ST (b)<1시<1 A| I| A|| (c)s1|5|| || (d) || A || < | A |<T I| A||
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