Consider the following matrix: 0 0 2 0 -3 18 -18 0 0 3 -3 0 0 A = 5 0 -3 -3 0 0 0 -15 0 5-15-2 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: < Select an answer >

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A: A=-1805020-30-31004000-300000-30-1505017

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Q: Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix A -1 1 0 -3 0 57 9 2…

A: Given: A matrix A=-20-5-6-2-379-102610-2-6 To find: A basis of the eigenspace associated with the…

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Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. 11…

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Q: A 2x2 upper triangular matrix A has eigenvalues a and - 5 (with a ≠ -5). An eigenvector…

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Q: ) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated…

A: Solution:  The  given  matrix A=10-3-9-9-22-6-18-180020000-3-8-90031011=XZ0Y,where…

Q: Find the eigenvectors of the matrix A= 1 1 -1 0 5 0 0 1 -1

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