5. [4 points] Given the matrix A = 1 2 2 1 8 0 2 4 4 4 20 6 2 4 4 1 14 3 . The reduced row echelon form is: 1 2 2 0 6 3 0 0 0 1 2 3 0 0 0 0 0 0 . a) [2 points] Find a basis for Null(A) (the null space of A). b) [1 point] Find a basis for Col(A) (the column space of A). c) [1 point] Find the rank of A.

4. [4 points] Compute the determinant of the following matrix using the row reduction method. 3521 3 5 6 c A: 6 11 8 7 ' 3 3 2 5 where c E R is a. constant