(a) One or more of the following numbers A -1,4, 5 is an eigenvalue of -13 8. -2 A 3 -13 Determine which value is an eigenvalue. -63 26 12 (b) Find the characteristic polynomial, eigenvalues and an eigenvector for each eigenvalue of the following matrix. 10 -6

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Linear Algebra
(a) One or more of the following numbers A =
-1,4, 5 is an eigenvalue of
-2
Determine which value is an eigenvalue.
-13
8
A
9
3
-13
-63
26
12
(b) Find the characteristic polynomial, eigenvalues and an eigenvector for each
eigenvalue of the following matrix.
[ 10
-6
Transcribed Image Text:(a) One or more of the following numbers A = -1,4, 5 is an eigenvalue of -2 Determine which value is an eigenvalue. -13 8 A 9 3 -13 -63 26 12 (b) Find the characteristic polynomial, eigenvalues and an eigenvector for each eigenvalue of the following matrix. [ 10 -6
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