Consider the following matrix: A = 2000 0200 -302 3 300-1 a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and eigenspace dimension b) Determine whether the matrix A is diagonalizable. Conclusion: Select an answer > A Question 24 A is diagonalizable A is not diagonalizable

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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#23 Number of Distinct Eigen Values:? Eigenvalue:? Has a multiplicity? And eigenspace dimension ? Conclusion?
Consider the following matrix:
A =
2000
0200
-302 3
300-1
a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces.
Number of Distinct Eigenvalues: 1
Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 1
b) Determine whether the matrix A is diagonalizable.
Conclusion: Select an answer >
<Select an answer >
A Question 24 A is diagonalizable
A is not diagonalizable
Transcribed Image Text:Consider the following matrix: A = 2000 0200 -302 3 300-1 a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 1 b) Determine whether the matrix A is diagonalizable. Conclusion: Select an answer > <Select an answer > A Question 24 A is diagonalizable A is not diagonalizable
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