Consider the diagonalization of matrix A. 29 -15 1 -3 -1 0 -5 3 A = = SAS-1 = 50 -26 -5 0 4 -2 1 Use the diagonalization of A to find the nth power of A. -1" An 4"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the diagonalization of matrix A.
29 -15
1 -3
-1 0
-53
A =
= SAS-1
50 -26
2 -5
0 4
-2 1
Use the diagonalization of A to find the nth power of A.
-1"
0.
An
4"
Transcribed Image Text:Consider the diagonalization of matrix A. 29 -15 1 -3 -1 0 -53 A = = SAS-1 50 -26 2 -5 0 4 -2 1 Use the diagonalization of A to find the nth power of A. -1" 0. An 4"
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