Question has 9 points

Q1 (8 points) Answer the following questions. For this question only, no justification is necessary; only your final answer will be marked. a) The matrix B is b 3 x 3 matrix and det ( B) -- 3. Give the reduced row echelon form of B. by Compute the determinant of b b+2 6+4 C C 1 2 c14 c) Solve DX = 0 with 4 10 0 0 2 1 5 6 0 7 10 2 d) Let A and B be 2 x 2 invertible matrices. Given that det(AB 1) = 2 and det.(2AT AB) - 16, find det ( A) and det (B)