Problem 3: Find the characteristic polynomials, eigenvalues and eigenvectors of the following matrices 13 a.) (42) € M2x2 (R) 2 b.) (²₁₁) € M2x2(C) E c.) 0 -1 2 -2 -3 1 -1 € M3×3 (R) 2 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 3: Find the characteristic polynomials, eigenvalues and eigenvectors of the
following matrices
a.) (13) € M2x2 (R)
4
2
2
b.) (²₁₁) € M₂x2(C)
c.)
0
-1
2
-2 -3
1 -1 € M3×3 (R)
2
5
Transcribed Image Text:Problem 3: Find the characteristic polynomials, eigenvalues and eigenvectors of the following matrices a.) (13) € M2x2 (R) 4 2 2 b.) (²₁₁) € M₂x2(C) c.) 0 -1 2 -2 -3 1 -1 € M3×3 (R) 2 5
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