Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. O -3 7 -4 4 -14 4 (a) the characteristic equation 3+ 82² – 42. – 48 =0 (b) the eigenvalues (Enter your answers from smallest to largest.) (Ag. dg, Ag) = ( 2,4,6 a basis for each of the corresponding eigenspaces X1 = X2 =

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 26EQ
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
o -3
7
-4
4 -14
4
(a) the characteristic equation
-13 + 822 – 42. – 48 =0|
(b) the eigenvalues (Enter your answers from smallest to largest.)
(Ag, Ag, Ag) = ( 2,4,6
a basis for each of the corresponding eigenspaces
X2 =
X3 =
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. o -3 7 -4 4 -14 4 (a) the characteristic equation -13 + 822 – 42. – 48 =0| (b) the eigenvalues (Enter your answers from smallest to largest.) (Ag, Ag, Ag) = ( 2,4,6 a basis for each of the corresponding eigenspaces X2 = X3 =
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