Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -9 1 8 A = 011 002 (a) the characteristic equation of A (b) the eigenvalues of A (Enter your answers from smallest to largest.) (1, 12, 13) =| (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of 2, %3D basis for the eigenspace of 12 %3D basis for the eigenspace of a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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.
-9 1 8
A =
0 1 1
0 0 2
(a) the characteristic equation of A
(b) the eigenvalues of A (Enter your answers from smallest to largest.)
(1,, 12, 13) =
(c) a basis for the eigenspace corresponding to each eigenvalue
basis for the eigenspace of 2.
basis for the eigenspace of 12
%3D
basis for the eigenspace of 13 =
144H2
Transcribed Image Text:Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -9 1 8 A = 0 1 1 0 0 2 (a) the characteristic equation of A (b) the eigenvalues of A (Enter your answers from smallest to largest.) (1,, 12, 13) = (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of 2. basis for the eigenspace of 12 %3D basis for the eigenspace of 13 = 144H2
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