Consider the following matrix: A = -4 00 2 10 1 0 4 -10 0 1 4 -15 0 0 7 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 > Official Time: A is diagonalizable SUBMIT AND MARK

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Consider the following matrix:
A =
-4 00 2
10 1 0 -4
-10 0 1 4
-15 0 0 7
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 >
Official Time: A is diagonalizable
A is not diagonalizable
SUBMIT AND MARK
Transcribed Image Text:Consider the following matrix: A = -4 00 2 10 1 0 -4 -10 0 1 4 -15 0 0 7 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 > Official Time: A is diagonalizable A is not diagonalizable SUBMIT AND MARK
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