5 2 2 1.} [3 points] Given 4 = [l} 3 3]= compute the determmant of A using cofactor expansion 2 4 7 across the second row of A. 3 5 -6 4 . 0 -2 3 3 2 e 2) [3 points] Let B 0 0 1 s . compute det B. 0 0 0 3 3.) [4 points] Find the determinant of matrix A by using row reduction to echelon form. 1 3 2 -4 . M & B =5 A=1'5 % % -4 3 g = 3 4) [3 points] Use determinant to find out if the matnix B 1s invertible_ 2 6 0 B=|1 3 2 9 2 3.) [3 points] Use Cramer's rule to determine x; 1n the solution of the following system: 3.1'1 = 2.1'2 =3 _'1'.].'1 + 6.1': === 6.) [4 points] Let S be a parallelogram determined by the vectors: E = [_g] and E; = [_g] Andletd = [_63 _23} be a transformation matrix, compute: (a) The area enclosed by the parallelogram S {b) The area of the image of S under the mappmg x > Ax