1 -2 6. 1 1 -3 Let A = -1 0 and P = 0. 0. 0 0 -1 1 Given that P diagonalizes A, then compute each of the following powers of A. ? ? ? ? ? (а) 41520 ? ? ? ? ? (b) A-1520 ? ?
1 -2 6. 1 1 -3 Let A = -1 0 and P = 0. 0. 0 0 -1 1 Given that P diagonalizes A, then compute each of the following powers of A. ? ? ? ? ? (а) 41520 ? ? ? ? ? (b) A-1520 ? ?
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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Question

Transcribed Image Text:-2
6.
0 | and P =
1
-3
Let A =
-1
0.
1
-1
1
Given that P diagonalizes A, then compute
each of the following powers of A.
?
?
?
? ?
(а) A1520
?
?
?
? ? ?
?
? ?
(b) A
-1520
?
? ?
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