(a) compute the rank and nullity of the following matrices: 3 17 2 1) a = 0 3 -1 | 1-3 4 -2 (1 -1 b= 2 -2 4 10 0 c 3 1 1) = 6 2 2 19 3 3 ) -8 feel free to use the rank-nullity theorem. (b) determine which of the above matrices is invertible and compute their inverse clearly showing your calculations. (c) suppose that a is an m xn matrix and b is an p x m matrix satisfying rank(b) = p and null(b) = rank(a). show that null(a) = n - m + p. hint. use the rank-nullity theorem.