Suppose that A = 2 - 2 1 1 00 0 0 1 Find the eigenvectors of A (a) Eigenvector with respect to the smallest eigenvalue: v₁ = where 1 is a unit vector; (b) Eigenvector with respect to the second smallest eigenvalue: 72 = where 73 is a unit vector. where 2 is a unit vector; (c) Eigenvector with respect to the bigest eigenvalue: 73 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that A
=
2
- 2 1
1
00
0
0 1
Find the eigenvectors of A
(a) Eigenvector with respect to the smallest eigenvalue: v₁ =
where 1 is a unit vector;
(b) Eigenvector with respect to the second smallest eigenvalue: 72
=
where 73 is a unit vector.
where 2 is a unit vector;
(c) Eigenvector with respect to the bigest eigenvalue: 73
=
Transcribed Image Text:Suppose that A = 2 - 2 1 1 00 0 0 1 Find the eigenvectors of A (a) Eigenvector with respect to the smallest eigenvalue: v₁ = where 1 is a unit vector; (b) Eigenvector with respect to the second smallest eigenvalue: 72 = where 73 is a unit vector. where 2 is a unit vector; (c) Eigenvector with respect to the bigest eigenvalue: 73 =
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