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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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
{{ ⎡⎣⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢[⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥], ⎡⎣⎢⎢⎢⎢⎢⎢���⎢⎢⎢[⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥] }.

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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