Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A = PDP¯1. 1 4 A = 0 -4 -5 -1 -8 O A. OB. 1 0 - 1 - 4 0 1 -9 -1 - 4 1 P= 0 -4 D = 0 1 P= -9 -4 D= 0 -4 1 1 1 0 0 -3 1 -4 -3 OC. Not diagonalizable OD. -4 -1 -1 - 4 P = D%3D - 4 1 0 -3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 50EQ
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Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP1.
1
A =
0 -4
-5 -1 -8
OB.
1
0-1
-4
1 -9 - 1
-4
1
P=0 -4
D=
0 1
P=
-9 -4
D=
0 -4
1
1
0 0 - 3
1 - 4
1
0 -3
OC. Not diagonalizable
OD.
- 4
- 1
- 4
- 1
P=
5
D=
- 4
5
1
0 -3
Transcribed Image Text:Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP1. 1 A = 0 -4 -5 -1 -8 OB. 1 0-1 -4 1 -9 - 1 -4 1 P=0 -4 D= 0 1 P= -9 -4 D= 0 -4 1 1 0 0 - 3 1 - 4 1 0 -3 OC. Not diagonalizable OD. - 4 - 1 - 4 - 1 P= 5 D= - 4 5 1 0 -3
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