Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 8 -4 -2 1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (21, å2) = a basis for each of the corresponding eigenspaces X = X2 =

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Chapter2: Second-order Linear Odes
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
8 -4
-2
1
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(11, 12)
a basis for each of the corresponding eigenspaces
X1 =
X2
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 8 -4 -2 1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (11, 12) a basis for each of the corresponding eigenspaces X1 = X2
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