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SupposeAis an n n matrix with all real entries and suppose is a complex eigenvalue of A

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

Solution for problem 9 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 9

SupposeAis an n n matrix with all real entries and suppose is a complex eigenvalue of A, with corresponding complex eigenvector v Cn. Set S = (A I)(A I). Prove that N(S) _= {0}. (Hint: Write v = x + iy, where x, y Rn.)

Step-by-Step Solution:
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Chapter 7.1, Problem 9 is Solved
Step 3 of 3

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

Since the solution to 9 from 7.1 chapter was answered, more than 209 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Linear Algebra: A Geometric Approach, edition: 2. The full step-by-step solution to problem: 9 from chapter: 7.1 was answered by , our top Math solution expert on 03/15/18, 05:30PM. Linear Algebra: A Geometric Approach was written by and is associated to the ISBN: 9781429215213. This full solution covers the following key subjects: . This expansive textbook survival guide covers 31 chapters, and 547 solutions. The answer to “SupposeAis an n n matrix with all real entries and suppose is a complex eigenvalue of A, with corresponding complex eigenvector v Cn. Set S = (A I)(A I). Prove that N(S) _= {0}. (Hint: Write v = x + iy, where x, y Rn.)” is broken down into a number of easy to follow steps, and 45 words.

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