Suppose that A = 00 (a) Eigenvector with respect to the smallest eigenvalue: v₁ = = 0 0 1 0 where ₁ is a unit vector; (b) Eigenvector with respect to the second smallest eigenvalue: 72 = 1 0 2 0 0 2 1 0 1 0 -1 1 . Find the eigenvectors of A where 72 is a unit vector; (c) Eigenvector with respect to the bigest eigenvalue: 73 = 3 -6 where 3 is a unit vector.
Suppose that A = 00 (a) Eigenvector with respect to the smallest eigenvalue: v₁ = = 0 0 1 0 where ₁ is a unit vector; (b) Eigenvector with respect to the second smallest eigenvalue: 72 = 1 0 2 0 0 2 1 0 1 0 -1 1 . Find the eigenvectors of A where 72 is a unit vector; (c) Eigenvector with respect to the bigest eigenvalue: 73 = 3 -6 where 3 is a unit vector.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help with the v3 the last one please help me
Transcribed Image Text:Suppose that A =
0
(a) Eigenvector with respect to the smallest eigenvalue: 1
=
0
X
1
0
where ₁ is a unit vector;
(b) Eigenvector with respect to the second smallest eigenvalue: 7₂ =
=
1
0
2 00
2 1
10
3
where 72 is a unit vector;
(c) Eigenvector with respect to the bigest eigenvalue: 73
-6
0
{).
1
1
Find the eigenvectors of A
where 3 is a unit vector.
-
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