The eigenvalues of the matrix 139 - 84 240 145 (a) Find an eigenvector corresponding to X₁ = 1 X1 = Bl (b) Find an eigenvector corresponding to X₂ = x2 - 7 X are X₁ - 5. 1. = 5 and A₂ = - 1.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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Question
139
- 84
The eigenvalues of the matrix
240
- 145
(a) Find an eigenvector corresponding to ₁
=
1
X1
=
(b) Find an eigenvector corresponding to X₂
1
x2 =
7
X
are λ₁
- 5.
- 1.
=
- 5 and A₂
=
- 1.
Transcribed Image Text:139 - 84 The eigenvalues of the matrix 240 - 145 (a) Find an eigenvector corresponding to ₁ = 1 X1 = (b) Find an eigenvector corresponding to X₂ 1 x2 = 7 X are λ₁ - 5. - 1. = - 5 and A₂ = - 1.
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