Consider the following matrix: 30-8 -4 03 8 4 0 0 11 4 0 0-24 -9 A= 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: A is diagonalizable

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Q: Please solve without AI and clear handwriting. Thanks

A: Step 1: Step 2: Step 3: Step 4:

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

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: 3 Let A = . Find, 4 1 a) Find the eigenvalues and eigenvectors of A. b) Verify that det(A) is the…

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