Consider the operator T E L(C) whose matrix in the standard basis of C' is (4 0 -6) 3 2 8 10 -1, a) Find the eigenvalues of T and their algebraic multiplicity. b) Find a basis of the eigenspace E(A, T') and a basis of the generalized eigenspace G(A, T) for every eigenvalue A of T. c) Is T diagonalizable?

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