A = Ak -5 4 -2 1 00 00 P = -2 1 -1 D = 0 0 -3 W

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and P-¹AP-D for the matrices P and D below.
A =
expaws.com
Ak
-5 4
-2 1
=
00
00
P=
-
1 -2
1
-1
D=
=
1 0
0
-3
B
Transcribed Image Text:Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and P-¹AP-D for the matrices P and D below. A = expaws.com Ak -5 4 -2 1 = 00 00 P= - 1 -2 1 -1 D= = 1 0 0 -3 B
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