Consider the following matrix: -2 0 0 -1 24 3 0 4 A = 36 0 3 6 12 0 0 5 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.

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