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Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _

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

Solution for problem 1 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 1

Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _ , x0 = _ 6 1 _ b. A = _ 0 1 1 0 _ , x0 = _ 1 3 _ c. A = _ 1 3 3 1 _ , x0 = _ 5 1 _ d. A = _ 1 1 1 3 _ , x0 = _ 2 1 _ e. A = 1 1 2 1 2 1 2 1 1 , x0 = 2 0 4 f. A = 1 2 2 1 0 1 0 2 1 , x0 = 3 1 4

Step-by-Step Solution:
Step 1 of 3

Minimum and maximum values Let c be a number in the domain of f. f(c) is a local max if f(c) ≥ f(x) when x is near c. f(c) is a local min if f(c) ≤ f(x) when x is near c Fermat’s Theorem: ​If f has a local max or min at c, and if f’(c) exists, then f’(c)’=0 Be careful: The converse of this theorem is not always true. Consider f(x) = x^3 f’(x) = 3x^2 f’(0) = 3*0^2 =0 However...

Step 2 of 3

Chapter 7.3, Problem 1 is Solved
Step 3 of 3

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

This full solution covers the following key subjects: . This expansive textbook survival guide covers 31 chapters, and 547 solutions. The answer to “Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _ , x0 = _ 6 1 _ b. A = _ 0 1 1 0 _ , x0 = _ 1 3 _ c. A = _ 1 3 3 1 _ , x0 = _ 5 1 _ d. A = _ 1 1 1 3 _ , x0 = _ 2 1 _ e. A = 1 1 2 1 2 1 2 1 1 , x0 = 2 0 4 f. A = 1 2 2 1 0 1 0 2 1 , x0 = 3 1 4” is broken down into a number of easy to follow steps, and 115 words. This textbook survival guide was created for the textbook: Linear Algebra: A Geometric Approach, edition: 2. The full step-by-step solution to problem: 1 from chapter: 7.3 was answered by , our top Math solution expert on 03/15/18, 05:30PM. Since the solution to 1 from 7.3 chapter was answered, more than 213 students have viewed the full step-by-step answer. Linear Algebra: A Geometric Approach was written by and is associated to the ISBN: 9781429215213.

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Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _

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