A O A:0Vthe above P and DTOLet A be a 3 x 3 diagonalizable matrix, P = |04li[5D = ToP-1 =|03-1.If P-1 AP = D then A³8-88.L27-27]8is equal to the above matrix16|08.2618Lo-27-19.

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Answered: [0 Let A be a 3 x 3 diagonalizable…

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Algebra

[0 Let A be a 3 x 3 diagonalizable matrix, P =|0 li 1 -3 2 [5 3 D = |0 3 0| P-1 =| 0 Lo -1 If P-1 A P = D then A3 42

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 29E

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Question

A O A:0V
the above P and D
TO
Let A be a 3 x 3 diagonalizable matrix, P = |0
4
li
[5
D = To
P-1 =|0
3
-1.
If P-1 AP = D then A³
8
-8
8.
L27
-27]
8
is equal to the above matrix
16
|0
8.
26
18
Lo
-27
-19.

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