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In both parts of this problem, consider the matrixwith eigenvalues X\ = 5 and X2 = 1

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 74 Chapter 7.4

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 74

In both parts of this problem, consider the matrixwith eigenvalues X\ = 5 and X2 = 1 (see Example 1).a. Are the column vectors of the matrices y4 ^1/2 and A Xjh eigenvectors of A? Explain. Does this work for other 2 x 2 matrices? What about diagonalizable n x n matrices with two distinct eigenvalues, such as projections or reflections? (Hint: Exercise 70 is helpful.) b. Are the column vectors of eigenvectors of AI Explain.

Step-by-Step Solution:
Step 1 of 3

I T (-rr)-,', (2,,.*) t Z I t* \ Tr a' t---= '\ 1 \ *f'(A9) : I {E\ c"r,,n 1r Nrfi)t'bNa (- 4'')i-,^\\oc )ci dt-c,zcc:,s-r, .r', ) \:'tt-e-z d-\ \nc(ccr:\ (2, s') T itl,'

Step 2 of 3

Chapter 7.4, Problem 74 is Solved
Step 3 of 3

Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

The full step-by-step solution to problem: 74 from chapter: 7.4 was answered by , our top Math solution expert on 03/15/18, 05:20PM. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 4. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009269. This full solution covers the following key subjects: . This expansive textbook survival guide covers 41 chapters, and 2394 solutions. The answer to “In both parts of this problem, consider the matrixwith eigenvalues X\ = 5 and X2 = 1 (see Example 1).a. Are the column vectors of the matrices y4 ^1/2 and A Xjh eigenvectors of A? Explain. Does this work for other 2 x 2 matrices? What about diagonalizable n x n matrices with two distinct eigenvalues, such as projections or reflections? (Hint: Exercise 70 is helpful.) b. Are the column vectors of eigenvectors of AI Explain.” is broken down into a number of easy to follow steps, and 76 words. Since the solution to 74 from 7.4 chapter was answered, more than 227 students have viewed the full step-by-step answer.

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In both parts of this problem, consider the matrixwith eigenvalues X\ = 5 and X2 = 1