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# Prove that det(eA) = etrA. (Hint: First assume A is diagonalizable. In the general case

ISBN: 9781429215213 438

## Solution for problem 14 Chapter 7.3

Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 14

Prove that det(eA) = etrA. (Hint: First assume A is diagonalizable. In the general case, apply the result of Exercise 6.2.15, which also works with complex matrices.)

Step-by-Step Solution:
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Trigonometry Section 2.4 and 2.5 Cos(a-b) = cosacosb + sinasinb Cos(a+b) = cosacosb – sinasinb Sin(a-b) = sinacosb - cosasinb Sin(a+b) = sinacosb + cosasinb tana−tanb Tan(a-b) =1+tanatanb tana+tanb Tan(a+b) = 1−tanatanb Here is an example problem: 7π 7π...

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##### ISBN: 9781429215213

This textbook survival guide was created for the textbook: Linear Algebra: A Geometric Approach, edition: 2. The answer to “Prove that det(eA) = etrA. (Hint: First assume A is diagonalizable. In the general case, apply the result of Exercise 6.2.15, which also works with complex matrices.)” is broken down into a number of easy to follow steps, and 27 words. The full step-by-step solution to problem: 14 from chapter: 7.3 was answered by , our top Math solution expert on 03/15/18, 05:30PM. Since the solution to 14 from 7.3 chapter was answered, more than 215 students have viewed the full step-by-step answer. 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.

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