Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP-1. 0 00] A = 7 0 700 -4 -3 1 4 007 0 Select one: A. -4 21 -8200 10 11 0110 [-2 0 1 0,D 0-200 0 0 0 0700 2 10 1 0070 1 0 1 0 0001 matrix ((-2 0 2 1)(0-2 1 0)(1 0 0 1)(0 0 1 0)), D=[7 0 0 0 0700 0070 0001 B. P = P C. D P = D.Not diagonalizable 7002 0100 0100 1000 0000

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 0 0 01
A =
0700
-4 -3 1 4
0 007
Select one:
-4 2 1
A.
-8 200
10 11
0110
0 0 0 1
[-2 0 1 0], D =[7 0 01
0-200
0700
P
1 0 1
0070
1 0 1 0
0001
C. matrix ((-2 0 2 1)(0-2 1 0) (1 0 0 1)(0 0 1 0)), D=[7 0 0 0
0700
P =
0070
0001
D.Not diagonalizable
P
B.
2021
—
D
7000
ONOD
OTOO
oc
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 0 0 01 A = 0700 -4 -3 1 4 0 007 Select one: -4 2 1 A. -8 200 10 11 0110 0 0 0 1 [-2 0 1 0], D =[7 0 01 0-200 0700 P 1 0 1 0070 1 0 1 0 0001 C. matrix ((-2 0 2 1)(0-2 1 0) (1 0 0 1)(0 0 1 0)), D=[7 0 0 0 0700 P = 0070 0001 D.Not diagonalizable P B. 2021 — D 7000 ONOD OTOO oc
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