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# By introducing the vector function z(t) = x1(t) x2(t) x _ 1(t) x _ 2(t) , show that the

ISBN: 9781429215213 438

## Solution for problem 11 Chapter 7.3

Linear Algebra: A Geometric Approach | 2nd Edition

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Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 11

By introducing the vector function z(t) = x1(t) x2(t) x _ 1(t) x _ 2(t) , show that the second-order system d2x dt2 = Ax(t) in Example 8 can be expressed as a first-order system dz dt = Bz(t), where B = 0 0 1 0 0 0 0 1 3 2 0 0 2 3 0 0 . Find the eigenvalues and eigenvectors of B, calculate etB, and solve the original problem. (Hint: Part c of Exercise 5.1.9 gives a slick way to calculate the characteristic polynomial of B, but its not too hard to do so directly.)

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Review Notes for Calculus I Symmetry:  A graph is symmetric with respect to the y-axis if whenever (x, y) is a point on the graph then (-x, y) is also a point on the graph. Some even functions (y=x , y=x , etc.) have symmetry with respect to the y-axis. These graphs usually are parabolas (u-shaped graphs). To figure out if a graph has y-axis symmetry, then...

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##### ISBN: 9781429215213

This full solution covers the following key subjects: . This expansive textbook survival guide covers 31 chapters, and 547 solutions. The answer to “By introducing the vector function z(t) = x1(t) x2(t) x _ 1(t) x _ 2(t) , show that the second-order system d2x dt2 = Ax(t) in Example 8 can be expressed as a first-order system dz dt = Bz(t), where B = 0 0 1 0 0 0 0 1 3 2 0 0 2 3 0 0 . Find the eigenvalues and eigenvectors of B, calculate etB, and solve the original problem. (Hint: Part c of Exercise 5.1.9 gives a slick way to calculate the characteristic polynomial of B, but its not too hard to do so directly.)” is broken down into a number of easy to follow steps, and 99 words. Since the solution to 11 from 7.3 chapter was answered, more than 208 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: 11 from chapter: 7.3 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.

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