d 2. Let A= [8 h i , and let B be a 3x3 matrix, where det(A)=-2 and det(B)=3. Determine each of the following: i 2a-3g 2b-3h 2c-3i h b 4g 4h 4i a) g d a b) -a+ 2d -b+2e -c+2f c) det(3ABT) d) det(det(A) B-'A2) e) det(A +3adj(A)) hint: use adjoint formula -3 2 1 3 3. Given that B-'A=0 2 1 find 17A-B. 4. Solve for x. x 0 4 0 x+1 5 -4 = 8 10 0 2 5. Consider the matrices below: 37 [1 2 3/27 0 2 - 0 0 -2 1/2 A= -2 3 4 B= [-2 3 4 C=10 7 7 a) What elementary row operation must be performed on matrix A to obtain matrix B? b) Find an elementary matrix, E,, such that E A=B. c) Find 3 successive row operations that would convert B to C. d) Find elementary matrices, E,, E,, and E,, such that E, E, E, B=C. 6. Let A be a 4x4 matrix, where det(A)=-3. Given that cofactor C24 is 93, determine the entry in the 4th row and 2"d column of