Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0 -3 5 -4 4 -10 (a) the characteristic equation (x – 4)(x – 6 ) (x + 2) = 0 (b) the eigenvalues (Enter your answers from smallest to largest.) (^, A2, 13) = -2,4,6 a basis for each of the corresponding eigenspaces (,10) X, = X, = (-10) X3
Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0 -3 5 -4 4 -10 (a) the characteristic equation (x – 4)(x – 6 ) (x + 2) = 0 (b) the eigenvalues (Enter your answers from smallest to largest.) (^, A2, 13) = -2,4,6 a basis for each of the corresponding eigenspaces (,10) X, = X, = (-10) 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 38EQ
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Question
![Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
0 -3
5
-4
4 -10
(a) the characteristic equation
(x – 4)(x – 6 ) (x + 2) = 0
(b) the eigenvalues (Enter your answers from smallest to largest.)
(^, A2, 13) =
-2,4,6
a basis for each of the corresponding eigenspaces
(,10)
X, =
X, =
(-10)
X3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf41e368-1422-4fff-85fd-12e0af44eb88%2Fd99ffcb7-9809-4e1f-9b69-8089175282c3%2Fjtnp1p7_processed.png&w=3840&q=75)
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
0 -3
5
-4
4 -10
(a) the characteristic equation
(x – 4)(x – 6 ) (x + 2) = 0
(b) the eigenvalues (Enter your answers from smallest to largest.)
(^, A2, 13) =
-2,4,6
a basis for each of the corresponding eigenspaces
(,10)
X, =
X, =
(-10)
X3
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