Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -3 1 9 0 1 1 A = 0 0 5 (a) the characteristic equation of A (b) the eigenvalues of A (Enter your answers from smallest to largest.) (A1, 12, 13) = (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of 11 = basis for the eigenspace of 22 = basis for the eigenspace of 13 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each
eigenvalue.
-3 1 9
0 1 1
A =
0 0 5
(a) the characteristic equation of A
(b) the eigenvalues of A (Enter your answers from smallest to largest.)
(A1, 12, 13) =
(c) a basis for the eigenspace corresponding to each eigenvalue
basis for the eigenspace of 21 =
basis for the eigenspace of 22 =
basis for the eigenspace of 13 =
Transcribed Image Text:Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -3 1 9 0 1 1 A = 0 0 5 (a) the characteristic equation of A (b) the eigenvalues of A (Enter your answers from smallest to largest.) (A1, 12, 13) = (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of 21 = basis for the eigenspace of 22 = basis for the eigenspace of 13 =
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