The matrix -2 2 41 A -4 4 4 -2 1 4 has eigenvalue = 2 repeated three times. It has an eigenspace of dimension 2 and one generalized eigenvector. A. Find a basis for the 2-eigenspace: B. Find a generalized 2-eigenvector, as well as the eigenvector it generalizes: W+= 9. generalizes the 2-eigenvector
The matrix -2 2 41 A -4 4 4 -2 1 4 has eigenvalue = 2 repeated three times. It has an eigenspace of dimension 2 and one generalized eigenvector. A. Find a basis for the 2-eigenspace: B. Find a generalized 2-eigenvector, as well as the eigenvector it generalizes: W+= 9. generalizes the 2-eigenvector
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
Question
Transcribed Image Text:The matrix
-2 2 41
A
-4 4 4
-2 1 4
has eigenvalue = 2 repeated three times. It has an eigenspace of dimension 2 and one
generalized eigenvector.
A. Find a basis for the 2-eigenspace:
B. Find a generalized 2-eigenvector, as well as the eigenvector it generalizes:
W+=
9.
generalizes the 2-eigenvector
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