Consider the following matrix: A = 3000 0 3 0-5 0 -12 -3 12 000-2 a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1 b) Determine whether the matrix A is diagonalizable. Conclusion: A is diagonalizable

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:
A =
www..com
3 0
0 00
0 3
0 -5
0-12
-3 12
0 0 0 -2
a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors.
Number of Distinct Eigenvalues: 1
Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1
b) Determine whether the matrix A is diagonalizable.
Conclusion: A is diagonalizable
< Select an answer >
Question 13 A is diagonalizable
A is not diagonalizable
sk
han
^ : the diagonalizablo matrix bolov and P-1AP-D for
Transcribed Image Text:Consider the following matrix: A = www..com 3 0 0 00 0 3 0 -5 0-12 -3 12 0 0 0 -2 a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1 b) Determine whether the matrix A is diagonalizable. Conclusion: A is diagonalizable < Select an answer > Question 13 A is diagonalizable A is not diagonalizable sk han ^ : the diagonalizablo matrix bolov and P-1AP-D for
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