an eigenvector, find the corresponding eigenvalue. (a) u = |0 (b) v (c) w = |0 [3 0 2 0] 1 3 10 0 1 10 0 0 0 4 2. Let A = Find a basis for the eigenspace corresponding to A = 4.

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
Q1
4 -2
1. Let A = |0
1 0
1
Determine if each vector below is an eigenvector of A. If it is
1
an eigenvector, find the corresponding eigenvalue.
(a) u = |0
(b) v
(c) w = |0
[3 0 2 0]
1 310
0 1 1 0
0 0 0 4
2. Let A =
Find a basis for the eigenspace corresponding to 1 = 4.
Transcribed Image Text:4 -2 1. Let A = |0 1 0 1 Determine if each vector below is an eigenvector of A. If it is 1 an eigenvector, find the corresponding eigenvalue. (a) u = |0 (b) v (c) w = |0 [3 0 2 0] 1 310 0 1 1 0 0 0 0 4 2. Let A = Find a basis for the eigenspace corresponding to 1 = 4.
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