Select all the true statements: a) An n, X n matrix A is diagonalizable if and only if some sequence of eigenvectors of A is a basis of Rk,with k > n. b) Let 111,112, . . . , \"m be eigenvectors of the n, X n matrix A with distinct eigenvalues (11,0521... ., am. Then ('01 , 1);, . . ., 'Um) is linearly independent. c) If A is an n X n matrix and a has fewer than n eigenvalues, then A is diagonalizable. d) If 'U is an eigenvector with eigenvalue A, then Av : A1)