Consider the following matrix: 2 -30 9 00 0-4 200 A 0 -18800 = 012 -4 20 0 24 -8 8-2 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 >

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following matrix:
2 -30 9 00
0-4 200
A = 0 -18 8 0 0
0 12 -4 20
0 24 -88-2
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 is diagonalizable
A is not diagonalizable
SUBMIT AND MARK
SAVE AND
Transcribed Image Text:Consider the following matrix: 2 -30 9 00 0-4 200 A = 0 -18 8 0 0 0 12 -4 20 0 24 -88-2 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 is diagonalizable A is not diagonalizable SUBMIT AND MARK SAVE AND
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