2 1 0 Question 1 (3 points). Let A = 0 1 . Calculate the pseudoinverse of A, i.e., 1 2 (ATA)_1AT. 4 3 0 0 Question 2 (9 points). Let A: 6 4 , g = 2 , h = U . 3 1 5 1 (i) (5 points) Find all left inverses of A, by letting L = f: 3 :1 be the left inverse. You need to use row operations, row echelon form, reduced row echelon form. (ii) (2 points) Is Arr = 9 consistent? If yes, using (i) to solve Ax = g. If no, explain why. (iii) (2 points) Is A2: = h consistent? If yes, using (i) to solve An: = h. If no, explain why. Question 3 (3 points). (True/False: if it is true, prove it; if it is false, give one counterexample). Let A be 3 x 2, and B be 2 X 3 non-zero matrix such that AB=O. Then A is not left invertible