For each of the question below, explain your answers. (a) If A is a 9 × 15 matrix, what is the minimum value of the nullity of A? (b) If A is a 7 × 10 matrix with rank 4, what is the dimension of the...

Extracted text: For each of the question below, explain your answers. (a) If A is a 9 × 15 matrix, what is the minimum value of the nullity of A? (b) If A is a 7 × 10 matrix with rank 4, what is the dimension of the nullspace of A"? (c) If A is a 8×11 matrix with rank 5, b is in the column space of A, how many free parameters are there in the general solution of Ax = b? (d) If A is a 11×8 matrix with rank 5, b is in the column space of A, how many free parameters are there in the general solution of Ax = b?