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Let A = _ 3 1/2 5 1/2 _ (a) Find Ax when x = _ 2 1 _ . Graph both x and Ax in the same

Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition | ISBN: 9780321644688 | Authors: Claudia Neuhauser ISBN: 9780321644688 313

Solution for problem 2 Chapter 9

Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

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Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition | ISBN: 9780321644688 | Authors: Claudia Neuhauser

Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

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Problem 2

Let A = _ 3 1/2 5 1/2 _ (a) Find Ax when x = _ 2 1 _ . Graph both x and Ax in the same coordinate system. (b) Find the eigenvalues 1 and 2, and the corresponding eigenvectors u1 and u2, of A. (c) If ui is the eigenvector corresponding to i , find Aui , and explain graphically what happens when you apply A to ui . (d) Write x as a linear combination of u1 and u2; that is, find a1 and a2 so that x = a1u1 + a2u2 Show that Ax = a11u1 + a22u2 and illustrate this equation graphically.

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Chapter 9, Problem 2 is Solved
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Textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series)
Edition: 3
Author: Claudia Neuhauser
ISBN: 9780321644688

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Let A = _ 3 1/2 5 1/2 _ (a) Find Ax when x = _ 2 1 _ . Graph both x and Ax in the same

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