1 Q2) Consider A =| 0 0 1 The eigenvalues of A and the corresponding bases for the 1 eigenspaces are as follows: 11 = 1, E-1 = 12 = -1 Ex--1 = Find an orthogonal matrix P that diagonalizes A. Find A100 а) b)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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1 0 0
Q2) Consider A =| 0 0 1
0 1 0
The eigenvalues of A and the corresponding bases for the
eigenspaces are as follows:
서 =D1
E,-1
12 = -1
Ex=-1
%3D
а)
b)
Find an orthogonal matrix P that diagonalizes A.
Find A100.
Transcribed Image Text:1 0 0 Q2) Consider A =| 0 0 1 0 1 0 The eigenvalues of A and the corresponding bases for the eigenspaces are as follows: 서 =D1 E,-1 12 = -1 Ex=-1 %3D а) b) Find an orthogonal matrix P that diagonalizes A. Find A100.
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