Given that A- -3 -1 -5 2 has the form A = PCP-¹. O P= O 2 -1 1 0 2 and P= O and C= Find an invertible matrix P and matrix C of the form 17 21 1 P= P-[¹3] and c- [14] C= OP-2 and C-[] P= C= °c-[¹3]and P-[4] C= = such that the given matrix 4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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Question 22
Given that A-
has the form A= PCP-1.
oc-[2]
0
O
O
-3 -1
-1 1
P=[]
0
and P =
and C=
Find an invertible matrix P and matrix C of the form
1 -4
2
P-[3] and C- [14]
P=
C=
-1 0
-1
OP-2 and C-[1]
P=
C=
0
1
°c-[¹3] and P-[4]
C=
=
-1
a
2]
a
such that the given matrix
Transcribed Image Text:Question 22 Given that A- has the form A= PCP-1. oc-[2] 0 O O -3 -1 -1 1 P=[] 0 and P = and C= Find an invertible matrix P and matrix C of the form 1 -4 2 P-[3] and C- [14] P= C= -1 0 -1 OP-2 and C-[1] P= C= 0 1 °c-[¹3] and P-[4] C= = -1 a 2] a such that the given matrix
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