Practice 4 Solutions

# Practice 4 Solutions

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Unformatted text preview: 5)n 5 42 21 + 0n 5 1 −2 −2 4 [5] Find An where A is the matrix A= λ = −4, −2 An = (−4)n 2 −3 1 1 −3 1 −1 −1 1 [6] Find An where A is the matrix A= −2 −1 −1 −2 + (−2)n 2 11 11 , 2 × 2 Exercise Set G (symmetric matrices), November λ = −3, −1 An = (−3)n 2 11 11 + (−1)n 2 1 −1 −1 1 [7] Find An where A is the matrix A= λ = −5, −3 An = −4 1 1 −4 (−5)n 2 1 −1 −1 1 + (−3)n 2 11 11 [8] Find An where A is the matrix A= λ = −1, 4 An = (−1)n 5 32 20 1 −2 −2 4 + 4n 5 42 21 , 2 × 2 Exercise Set H (symmetric matrices), November 2 × 2 Exercise Set H (symmetric matrices) Linear Algebra, Dave Bayer, November , [1] Find eAt where A is the matrix A= λ = −4, 1 eAt = −3 −2 −2 0 e−4t 5 42 21 + et 5 1 −2 −2 4 [2] Find eAt where A is the matrix 02 23 A= λ = −1, 4 eAt = e−t 5 4 −2 −2 1 e4t 5 12 24 + et 2 11 11 + 1 5 42 21 + [3] Find eAt where A is the matrix A= λ = −3, 1 eAt = −1 2 2 −1 e−3t 2 1 −1 −1 1 [4] Find eAt where A is the matrix A= λ = −5, 0 eAt = −1 2 2 −4 e−5t 5 1 −2 −2 4 [5] Find eAt where A is the matrix A= λ = 2, 4 eAt = e2t 2 31 13 1...
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## This document was uploaded on 03/24/2014 for the course MATH V2010 at Barnard College.

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