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Use Exercise 11 to show that any eigenvalue of an n n complex matrix A is at most the

Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams ISBN: 9781429215213 438

Solution for problem 12 Chapter 7.1

Linear Algebra: A Geometric Approach | 2nd Edition

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Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams

Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 12

Use Exercise 11 to show that any eigenvalue of an n n complex matrix A is at most the largest sum n j=1 |aij | as i varies from 1 to n and, similarly, at most the largest sum n i=1 |aij | as j varies from 1 to n.

Step-by-Step Solution:
Step 1 of 3

{,, 'l.~ --1) .\-'!..) "'" 1 ',!:l~s i)I ~~6 )"-~4:)...

Step 2 of 3

Chapter 7.1, Problem 12 is Solved
Step 3 of 3

Textbook: Linear Algebra: A Geometric Approach
Edition: 2
Author: Ted Shifrin, Malcolm Adams
ISBN: 9781429215213

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Use Exercise 11 to show that any eigenvalue of an n n complex matrix A is at most the

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