2) Consider the matrices f-300 A=0 3 0 13 f12-2 B=-25-2 -66-3 Take word for it that my X„(2)=X_(2)= (A+3)(2-3)? a) For the matrix A find (1) the eigen values i) the correspondring eigenspoces a diagond matvix D aid an invertible matrix P such that A= RO PDP! if such motrices exist, and if they don't exist explain viow O Repeat a) for the matrix B 1- you know.

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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(2.) Consider the matrices
1 2 -2
B=-25-2
-66-3
f-300
A=0 3 0
13
Take
word for it tat
my
X,(2)=X
(2)=(At3)(2-3)?
a) For the matrix A find
(1) the eigen values
i) the correspondeing eigenspoces
(1) a diagind matrix D aid an invertible
matrix P such that A= R PDP
if such mitrices exist, and if they
don't exist explain how you know.
O Repeat (a) for the matrix B
1-
you
Transcribed Image Text:(2.) Consider the matrices 1 2 -2 B=-25-2 -66-3 f-300 A=0 3 0 13 Take word for it tat my X,(2)=X (2)=(At3)(2-3)? a) For the matrix A find (1) the eigen values i) the correspondeing eigenspoces (1) a diagind matrix D aid an invertible matrix P such that A= R PDP if such mitrices exist, and if they don't exist explain how you know. O Repeat (a) for the matrix B 1- you
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