The matrix A = -2 2] [221] -2 2 has one eigenvalue of multiplicity 2. Find this eigenvalue and the dimension of its associated eigenspace.

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
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The matrix
A
=
-2 2
-2 2
has one eigenvalue of multiplicity 2. Find this
eigenvalue and the dimension of its associated
eigenspace.
The eigenvalue has an associated eigenspace with
dimension
Transcribed Image Text:The matrix A = -2 2 -2 2 has one eigenvalue of multiplicity 2. Find this eigenvalue and the dimension of its associated eigenspace. The eigenvalue has an associated eigenspace with dimension
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