0 1 1] 5 1 1 5 A = 4 -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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Answer using the matrix below
1. Which of the following gives the eigenvalues of A? 
a. {1,2,4}
b {2,2,4}
c. {2,4,4}
d. {0,2,4}

2. Determine its unit eigenvector when λ=2
a. [0.333,0,0.333]
b. [0.577,0.577,0.577]
c. [1,1,1]
d.[0.25,0.25,0]

3. Which is of the following is NOT an eigenvector of A when λ=4?
a. [2,0,8]
b. [2,8,0]
c. [4,0,1]
d. [1,4,0]

0
A = -4 5
-4
1
1 1
1
1
5]
Transcribed Image Text:0 A = -4 5 -4 1 1 1 1 1 5]
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