8. Compute the characteristic polynomial of A, the eigenvalues of A, and the basis for each eigenspace of A. Is the matrix A diagonalizable? A =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 4EQ: In Exercises 1-12, compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a...
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8. Compute the characteristic polynomial of A, the eigenvalues of A, and the basis for each
eigenspace of A. Is the matrix A diagonalizable?
2
1
A
-1 0
Transcribed Image Text:8. Compute the characteristic polynomial of A, the eigenvalues of A, and the basis for each eigenspace of A. Is the matrix A diagonalizable? 2 1 A -1 0
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