envector for this eigenvalue. e the following problem WITHOUT computing all eigenvalues. -4 -6 -2 B: 5 5 -2 has an eigenvector i 1 2 -3 genvalue for this eigenvector. Dwing helpful? Example 8.2. Definition 8.6. Theorem 8.18.

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
0 3
-5 1
The matrix A
-3 has an eigenvalue A = -3.
3 2 -4
Find an eigenvector for this eigenvalue.
Try to solve the following problem WITHOUT computing all eigenvalues.
-4 -6
8
-2
The matrix B =
5
5 -2 has an eigenvector i
3
1
2 -3
Find the eigenvalue for this eigenvector.
Are the following helpful?
?
Example 8.2.
?
Definition 8.6.
?
v Theorem 8.18.
Transcribed Image Text:0 3 -5 1 The matrix A -3 has an eigenvalue A = -3. 3 2 -4 Find an eigenvector for this eigenvalue. Try to solve the following problem WITHOUT computing all eigenvalues. -4 -6 8 -2 The matrix B = 5 5 -2 has an eigenvector i 3 1 2 -3 Find the eigenvalue for this eigenvector. Are the following helpful? ? Example 8.2. ? Definition 8.6. ? v Theorem 8.18.
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