Practice 4 Solutions

1 1 2 1 1 3t 3 2 0 eat 3 find eat where a is the

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Unformatted text preview: −2 1 −1 0 1 111 n An λ = 0, 2, 3 [2] Find An where A is the matrix −3 1 −1 0 A = 1 −2 −1 0 −2 λ = −4, −2, −1 An 4 −2 2 000 1 1 −1 (−2)n (−1)n (−4)n −2 1 −1 + 0 1 1 + 1 1 −1 = 6 2 3 2 −1 1 011 −1 −1 1 [3] Find An where A is the matrix 2 1 −1 0 A= 1 1 −1 0 1 λ = 0, 1, 3 An 1 −1 1 000 4 2 −2 0n 1 3n −1 1 −1 + 0 1 1 + 2 1 −1 = 3 2 6 1 −1 1 011 −2 −1 1 [4] Find An where A is the matrix 3 −1 0 2 1 A = −1 0 13 λ = 1, 3, 4 An 1 2 −1 101 1 −1 −1 3n 4n 1 2 4 −2 + 0 0 0 + −1 1 1 = 6 2 3 −1 −2 1 101 −1 1 1 [5] Find An where A is the matrix −2 1 0 A = 1 −3 −1 0 −1 −2 3 × 3 Exercise Set J (symmetric matrices), November 1 −2 −1 101 1 1 −1 n n (−4) (−2) (−1) −2 4 2 + 0 0 0 + 1 1 −1 = 6 2 3 −1 2 1 101 −1 −1 1 n λ = −4, −2, −1 , An [6] Find An where A is the matrix −1 0 −1 1 A = 0 −1 −1 1 −2 1 −1 2 110 1 −1 −1 n n (−1) 0 (−3) −1 1 −2 + 1 1 0 + −1 1 1 = 6 2 3 2 −2 4 000 −1 1 1 n λ = −3, −1, 0 An [7] Find An where A is the matrix 3 0 −1 1 A= 0 3 −1 1 2 λ = 1, 3, 4 An 1 −1 2 110 1 −1 −1 n n 3 4 1 1 −2 + 1 1 0 + −1 1 1 = −1 6 2 3 2 −2 4 000 −1 1 1 [8] Find An where A is the matrix 2 0 1 2 −1 A = 0 1 −1 3 λ = 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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