2 2 000 000 3 10 0 0 0 0 0 00 1 - -1 3 0 0 0 0 0 -1 1 0 000 B = 000 0 1 0 0 0 0 0 0 0 0 11 0 0 0 0 0 0 0 0 4 -1 0 00 0001 2

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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what is the solution with steps?

(a) Find the characteristic polynomial of B from problem 2.
(b) Find all eigenvalues of B
(c) For each eigenvalue of B, find an eigenvector.
Transcribed Image Text:(a) Find the characteristic polynomial of B from problem 2. (b) Find all eigenvalues of B (c) For each eigenvalue of B, find an eigenvector.
Compute the determinant of each of the following
[22
A =
||
3 1
[147
πT
In(2)
10.
00
00
0
0 0
0
0 0
0 0 1
-1 3
0
0 0
0 2
0
0
2000
3 100
00
-1
1
0
0
0
0
3
-π
B
=
00 0
0
1
0
0 0
0
4
472
0 0 0
0
0
11
00
0
0
5
00 0
0
0
0
4 -1
00 0
0
0
0
1 2
Transcribed Image Text:Compute the determinant of each of the following [22 A = || 3 1 [147 πT In(2) 10. 00 00 0 0 0 0 0 0 0 0 1 -1 3 0 0 0 0 2 0 0 2000 3 100 00 -1 1 0 0 0 0 3 -π B = 00 0 0 1 0 0 0 0 4 472 0 0 0 0 0 11 00 0 0 5 00 0 0 0 0 4 -1 00 0 0 0 0 1 2
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