Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0 -3 3 -4 4 -6 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) 1) a basis for each of the corresponding eigenspaces X1 X2 = X3 =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 25EQ: In Exercises 23-26, use the method of Example 4.5 to find all of the eigenvalues of the matrix A....
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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
4 -6
4
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(2g, Ag, Ag) =
a basis for each of the corresponding eigenspaces
X, =
X, =
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 4 -6 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (2g, Ag, Ag) = a basis for each of the corresponding eigenspaces X, = X, = X3 =
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