Given the matrix A = Justify your answer! 4 0 -6 3 -2 -3 3 0 € R³×3 -5 (i) find all eigenvalues of A, (ii) find all eigenvectors of A, (iii) show that A € R³×³ is diagonalizable along with a factorization of A into a diagonal matrix D E R³×³, an invertible matrix K € R³×³, and its inverse.

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