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Math / Linear Algebra and Its Applications 5 / Chapter 5.SE / Problem 6E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

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a. Let Show that B is diagonalizable by finding a suitable

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QUESTION:

a. Let Show that B is diagonalizable by finding a suitable factorization of B.b. Given p (t) and p (A) as in Exercise 5, show that p (A) is diagonalizable.Reference:If to be the matrix formed by replacing each power of t in p (t) by the corresponding power of A (with A0 = I ). That is, Show that if is an eigenvalue of A, then one eigenvalue of

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QUESTION:

a. Let Show that B is diagonalizable by finding a suitable factorization of B.b. Given p (t) and p (A) as in Exercise 5, show that p (A) is diagonalizable.Reference:If to be the matrix formed by replacing each power of t in p (t) by the corresponding power of A (with A0 = I ). That is, Show that if is an eigenvalue of A, then one eigenvalue of

ANSWER:

Solution 6E(a)Suppose that = []Then, , where is

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