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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.

Linear Algebra: A Modern Introduction
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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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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