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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
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This document was uploaded on 03/24/2014 for the course MATH V2010 at Barnard College.
 Spring '14
 DaveBayer
 Linear Algebra, Algebra

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