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Check that if A is an n n matrix and the n n differentiable matrix function E(t)

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

Solution for problem 6 Chapter 7.3

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 6

Check that if A is an n n matrix and the n n differentiable matrix function E(t) satisfies dE dt = AE(t) and E(0) = I , then E(t) = etA for all t R.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 7.3, Problem 6 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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Check that if A is an n n matrix and the n n differentiable matrix function E(t)

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