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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= 19 18 -16 -15 00 00 9 10 P-[32] P-1:] 03

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 11E: 11. Find two nonzero matrices and such that.

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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 =
Ak
19 18
-16 -15
00
00
P=
=
-3 9
]
3-8
D
10
03

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