1. (15 points) Suppose A is the matrix 0 1 2 2
0 3 8 7
0 0 4 2
(a) Find the general solution to Ax = 0 and describe Nul A.
(b) Describe the column space of this particular matrix A. “All combinations of the
four columns" is not a sufficient answer.
(c) Let R be the reduced row echelon form of A. What is the reduced row echelon form
of B when B is the 6 x 8 partitioned matrix B = using the same A? You
can express the solution in terms of R.