Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and P¹ AP-D for the matrices P and D below. -1 -2 A-3²-33-39] P = -1 = Ak -42 1 00 00 D -20 0 -1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 10E: Find two nonzero matrices A and B such that AB=BA.
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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 =
Ak=
-4 2
-3 1
[oo]
00
00
P
-2
-1 -3
D
-2 0
0 -1
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 = Ak= -4 2 -3 1 [oo] 00 00 P -2 -1 -3 D -2 0 0 -1
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