One of the eigenvalues of the matrix (²-a) C is 2(c + 1), and a corresponding eigenvector is O-1-2c 02 (2 c+1) O(+1) O-2 (2+ c) (-2). What is the value of a?
One of the eigenvalues of the matrix (²-a) C is 2(c + 1), and a corresponding eigenvector is O-1-2c 02 (2 c+1) O(+1) O-2 (2+ c) (-2). What is the value of a?
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
Transcribed Image Text:One of the eigenvalues of the matrix
1
(²2
C
a
is 2(c+1), and a corresponding eigenvector is
O-1-2c
02 (2c+1)
(c + 1)
3
0-2 (2+ c)
0
(-²).
What is the value of a?
Expert Solution
Step 1
If is the eigen value and is the eigenvector of the matrix: A, then it can be written that: .
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