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3. Consider the following matrix: -7 4 -3 A 8 -3 3 32 -16 13 (a) Compute the eigenvalues of A. (b) Compute a basis for each of the eigenspaces of A. (c) Determine the algebraic and geometric multiplicities of each eigenvalue.

3. Consider the following matrix: -7 4 -3 A 8 -3 3 32 -16 13 (a) Compute the eigenvalues of A. (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)
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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3. Consider the following matrix: -7 4 -3 A 8 -3 3 32 -16 13 (a) Compute the eigenvalues of A. (b) Compute a basis for each of the eigenspaces of A. (c) Determine the algebraic and geometric multiplicities of each eigenvalue.
Transcribed Image Text:3. Consider the following matrix: -7 4 -3 A 8 -3 3 32 -16 13 (a) Compute the eigenvalues of A. (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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