3. Given ATA = 3 4 0 4 0-3 10-3 3 (a) (2 points) Solve the homogeneous system Ax = 0. Explain how you derive your answer. (b) (2 points) Suppose

(ATA)-¹AT 3/5 4/5 0 3/5 1/5 -1/5 3/5 0 -1/5 -2/5 -1/5 4/15 0 -8/15 -11/15 What is A? Explain how you derive your answer. (c) (6 points) Find all possible left inverse of A. Show your workings clearly, however, you do not need to show the elementary row operations used.