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Linear Algebra: A Geometric Approach - 2 Edition - Chapter 4.3 - Problem 17
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Solutions for Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams 9781429215213

Solution for problem 17 Chapter 4.3

Show (by calculation) that for any real numbers a and b, the matrices 1 a 0 2 _ and 1 b

Linear Algebra: A Geometric Approach | 2nd Edition


Problem 17

Show (by calculation) that for any real numbers a and b, the matrices 1 a 0 2 _ and 1 b 0 2 _ are similar. (Hint: Remember that when P is invertible, B = P 1AP PB = AP.)

Accepted Solution
Step-by-Step Solution:

Step 1 of 3

Let and

Then A and B are said to similar if there exists another matrix S such that

Chapter 4.3, Problem 17 is Solved

Step 2 of 3


Step 3 of 3

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Show (by calculation) that for any real numbers a and b, the matrices 1 a 0 2 _ and 1 b