Which of the following statements about 2 1 -4 -4 - 3 4 - 5 -5 3 In the following, you may assume that the given eigenvalues are indeed eigenvalues. A = O a) X = 3 is an eigenvalue. Its eigenvector satisfies 3x1 e) X is true? O b) λ = 2 is an eigenvalue. Its eigenvector satisfies 201 A O c) A = 1 X = 1 is an eigenvalue. Its eigenvector satisfies x₂ + d) λ = 3 is an eigenvalue. Its eigenvector satisfies 3x1 = = - = -2x3 1 is an eigenvalue. Its eigenvector satisfies 3x1 f) λ = -2 is an eigenvalue. Its eigenvector satisfies x₁ = x3 = ï3 = X2 = 0

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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Question
Which of the following statements about
2 1
(²
-4 - 3
A
=
-4
4
- 5 -5 3
In the following, you may assume that the given eigenvalues
are indeed eigenvalues.
O a) X
is true?
=
3 is an eigenvalue. Its eigenvector satisfies 3x1
e) X
O b) λ = 2 is an eigenvalue. Its eigenvector satisfies 201
A
O c) A = 1
X = 1 is an eigenvalue. Its eigenvector satisfies x₂ +
d) λ =
3 is an eigenvalue. Its eigenvector satisfies 3x1
=
=
-
=
-2x3
1 is an eigenvalue. Its eigenvector satisfies 3x1
f) λ = −2 is an eigenvalue. Its eigenvector satisfies x₁ = x3
= ï3
= X2
=
0
Transcribed Image Text:Which of the following statements about 2 1 (² -4 - 3 A = -4 4 - 5 -5 3 In the following, you may assume that the given eigenvalues are indeed eigenvalues. O a) X is true? = 3 is an eigenvalue. Its eigenvector satisfies 3x1 e) X O b) λ = 2 is an eigenvalue. Its eigenvector satisfies 201 A O c) A = 1 X = 1 is an eigenvalue. Its eigenvector satisfies x₂ + d) λ = 3 is an eigenvalue. Its eigenvector satisfies 3x1 = = - = -2x3 1 is an eigenvalue. Its eigenvector satisfies 3x1 f) λ = −2 is an eigenvalue. Its eigenvector satisfies x₁ = x3 = ï3 = X2 = 0
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