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Unformatted text preview: 5] Find eAt where A is the matrix 2 0 −1
1
A= 0 2
−1 1
1 3 × 3 Exercise Set K (symmetric matrices), November , λ = 0, 2, 3 eAt 1 −1
2
110
1 −1 −1
2t
3t
1
e
e
1 −2 +
1 1 0 +
−1
1
1
= −1
6
2
3
2 −2
4
000
−1
1
1 [6] Find eAt where A is the matrix −2
1 −1
0
A = 1 −3
−1
0 −3 1 −1
1
000
4
2 −2
−3t
−t
e
e −1
0 1 1 + e 2
1 −1 +
1 −1 =
3
2
6
1 −1
1
011
−2 −1
1
−4t λ = −4, −3, −1 eAt [7] Find eAt where A is the matrix 111
A = 1 2 0
102 λ = 0, 2, 3 eAt 4 −2 −2
0
0
0
111
2t
3t
e
e
1
1
1 +
0
1 −1 +
1 1 1
= −2
6
2
3
−2
1
1
0 −1
1
111 [8] Find eAt where A is the matrix −2
0
1
1
A = 0 −2
1
1 −3 1
1 −2
1 −1 0
111
−2t
−t
e
e
e
1 −1
1 −2 +
1 0 +
1 1 1
=
6
2
3
−2 −2
4
0
00
111
−4t λ = −4, −2, −1 eA...
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 Spring '14
 DaveBayer
 Linear Algebra, Algebra

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