please answer Q6 using matrix in Q4

4. (2+4) Consider the matrix A = 6 6. (4+4+4+4) Let A be the same matrix as in question 4 (a) Find a basis for the null space of A (b) Find another basis for the null space of A, whose vectors are not multiples of those found in (6b). (c) Find the change of basis matrix that changes from coordinates for the basis in (6a) to coordinates for the basis in (6b). (d) Show that v = (-7,4, -1, -1,0)" is in the null space of A and find the coordinates of v in each of your two bases above