Use the factorization A=PDP¯1 to compute AK, where k represents an arbitrary positive integer. 32 30 = *]-[2³1 8:1-2-3] 01 Ak= - 5 12 -4 9 ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the factorization A = PDP
Ак
11
- 5 12
-4 9
=
to compute AK, where k represents an arbitrary positive integer.
I
32 30
21
01
-1 2
-
2 -3
Transcribed Image Text:Use the factorization A = PDP Ак 11 - 5 12 -4 9 = to compute AK, where k represents an arbitrary positive integer. I 32 30 21 01 -1 2 - 2 -3
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