Question: 1. Let A = - 3 -4. Find AT, A-1, (4-1)T and (AT )-1. 2. Let A = 2 1 and B = 2 2

1. Let A = - 3 -4. Find AT, A-1, (4-1)T and (AT )-1. 2. Let A = 2 1 and B = 2 2 ] (a) Find (AB), BT AT and ATBT. (b) (AB)-1, B-1A- and A-1B-1. 3. If B is the inverse of A2. Prove that (BA) is the inverse of A. 4. Prove or disprove that the following sets are subspaces of R2 (a) S=fr= such that x2 = 4x1). (b) $2 = fr = such that x1 = 0, x2

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