10.(5%) Fill in a complex number, c, such that the matrix below is unitarily diagonalizable: (A) 4 (B) -4 (C)4i (D)-4i (E) 0

4. (5%) Let A be an m by n matrix. Which statement is TRUE? (A) The null space of A is a subspace of the column space of AT (B) The dimension of the null space of A plus the dimension of the row space of A is (C) The null space of AT equals column space of A (D) The column space of A is orthogonal to the row space of AT (E) The direct sum of the row space of A and the null space of AT is Rm

10.(5%) Fill in a complex number, c, such that the matrix below is unitarily diagonalizable:

(A) 4
(B) -4
(C)4i
(D)-4i
(E) 0

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