Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP-1. 7 2 8 A = 0 -3 0 -10 -2 -11] Select one: A. 1 1-9 -1 D -3 -9 -4 0 0 -3 1 -4 1 1 0 -1 D -9 -4 0 1 1 1 1 0 -1 -9-4 0 1 1 1 1 0 -11. D 0-4 0 [1 1 1 P = B. P = C. P = D. P D moo moo 0-3 0 0-1 ن بنا دیا 0 0-3 SOTOOFTOTOOF -30 01 0 0 -1 0 0 -1 0 0 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.4: The Lu Factorization
Problem 15EQ
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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= PDP-1
7 2 8
A=
0-3
-10 -2 -11
Select one:
A.
1 -9 -1].D -3 1
-9 -4 0
0-3
1 -4 1]
1
-1
-9 -4 .
1
1
1
1
0 -1
-9 -4
B.
C.
0.
P
p =
p =
P:
܂
܂
܂
1 1 1
1 0-1
0-4
[1 1 1
܂
D
D
D
ܘ
ܘ
ܟ
ܘ
ܘ
ܟ
ܘ
ܘ
ܟ
ܟ
ܘ
ܘ
ܟ
ܘ
ܘ
ܟ
ܝ
ܘ ܘ ܘܘ ܘܐ
0 -1
0-1
0
0
-3 0
.1
. . -1]
-3
-3 -1
ܘ ܘ
Transcribed Image Text:Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP-1 7 2 8 A= 0-3 -10 -2 -11 Select one: A. 1 -9 -1].D -3 1 -9 -4 0 0-3 1 -4 1] 1 -1 -9 -4 . 1 1 1 1 0 -1 -9 -4 B. C. 0. P p = p = P: ܂ ܂ ܂ 1 1 1 1 0-1 0-4 [1 1 1 ܂ D D D ܘ ܘ ܟ ܘ ܘ ܟ ܘ ܘ ܟ ܟ ܘ ܘ ܟ ܘ ܘ ܟ ܝ ܘ ܘ ܘܘ ܘܐ 0 -1 0-1 0 0 -3 0 .1 . . -1] -3 -3 -1 ܘ ܘ
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