[4 -2 2 A = 2 2 -2 4 Step 6: Find the matrix P-1. a Answer: P-1 de f g h i First row of P1: a= -1 , b= 2 C= -1 Second row of P-1: d= -1 1 e= f= 0 Third row of P-1. 1 g= h= -1 , i= 1 Note: all are integers. I suggest you to check that A = PDP-1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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[ 4
-2 2
A
2
2
-2 4
Step 6:
Find the matrix P-1.
a
Answer: P-1
d e
f
h
i
First row of P1: a= -1
b= 2
C= -1
Second row of P-1: d= -1
e= 1
f= 0
Third row of P-1:
1
g=
h= -1
i= 1
Note: all are integers.
I suggest you to check that A = PDP-1.
Transcribed Image Text:[ 4 -2 2 A 2 2 -2 4 Step 6: Find the matrix P-1. a Answer: P-1 d e f h i First row of P1: a= -1 b= 2 C= -1 Second row of P-1: d= -1 e= 1 f= 0 Third row of P-1: 1 g= h= -1 i= 1 Note: all are integers. I suggest you to check that A = PDP-1.
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