2. Consider the following matrix: (a) Compute the eigenvalues of A. 3 A = (³/2 1 ) -2 (b) Compute a basis for each of the eigenspaces of A. (c) Determine the algebraic and geometric multiplicities of each eigenvalue.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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2. Consider the following matrix:
(a) Compute the eigenvalues of A.
3
A = (³/2 1 )
-2
(b) Compute a basis for each of the eigenspaces of A.
(c) Determine the algebraic and geometric multiplicities of each eigenvalue.
Transcribed Image Text:2. Consider the following matrix: (a) Compute the eigenvalues of A. 3 A = (³/2 1 ) -2 (b) Compute a basis for each of the eigenspaces of A. (c) Determine the algebraic and geometric multiplicities of each eigenvalue.
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