Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0-3 -4 5 4-10 0 0 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (A₁, 12, 13) = a basis for each of the corresponding eigenspaces x1 = x2 x3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 7E
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
0-3
-4
5
4-10
0 0 4
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(A₁, 12, 13) =
a basis for each of the corresponding eigenspaces
x1 =
x2
x3
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0-3 -4 5 4-10 0 0 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (A₁, 12, 13) = a basis for each of the corresponding eigenspaces x1 = x2 x3
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