ws11 - Math 464, Worksheet 11 For this assignment we will...

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Unformatted text preview: Math 464, Worksheet 11 For this assignment we will assume that M= 11 −7 14 −10 1. Find all eigenvalues of M . 2. For each eigenvalue find an eigenvector. 3. Let P be the matrix whose columns are the eigenvectors from Problem 2. Compute MP 4. Let D be the matrix with eigenvalues on the diagonal and zeroes elsewhere. Be sure to put your eigenvalues in the same order as their associated eigenvectors. Compute P D 5. Compute M 10 . Answers 1 1 4 −3 4 −3 , v2 = . 3) . 4) . 1 2 4 −6 4 −6 2038103 −989527 −410 + (−3)10 = . 1979054 −930478 −410 + 2 · (−3)10 1) λ1 = 4, λ2 = −3. 2) v1 = 5) 2 · 410 − (−3)10 2 · 410 − 2 · (−3)10 1 ...
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This note was uploaded on 10/12/2011 for the course MATH 464 taught by Professor Dougbullock during the Fall '08 term at Boise State.

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