Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix 1 0 7 −1 0 -3 -6 -6 A 0 -5 2 -2
Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix 1 0 7 −1 0 -3 -6 -6 A 0 -5 2 -2
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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Question
Find a basis of the eigenspace associated with the eigenvalue −3−3 of the matrix
A=⎡⎣⎢⎢⎢10−220−3007−6−55−1−62−2⎤⎦⎥⎥⎥.A=[107−10−3−6−6−20−52205−2].
A basis for this eigenspace is
{{ ⎡⎣⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢[⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥], ⎡⎣⎢⎢⎢⎢⎢⎢���⎢⎢⎢[⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥] }.
![Find a basis of the eigenspace associated with the eigenvalue - 3 of the matrix
1
0
7
-
-3 -6
-6
A
-2
0
2
2
05
-2
A basis for this eigenspace is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23c47715-d115-4903-8442-98d47eaa92e5%2F685595b4-e3d0-4ce3-90aa-903bd720b0e0%2F560ghr_processed.png&w=3840&q=75)
Transcribed Image Text:Find a basis of the eigenspace associated with the eigenvalue - 3 of the matrix
1
0
7
-
-3 -6
-6
A
-2
0
2
2
05
-2
A basis for this eigenspace is
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