Consider the following matrix A, and the transpose of its adjoint : 3 3 -3 02-2 3-5 -2 3 0 3 0 A = 22 12 2 1 2 1 2 1 2 1 1 1 2 2 and adj(A) = -3 3 -3 (a) Compute A. adj(A). (b) What is A? (c) If we add 3 to a14, what is the determinant of the new matrix? (d) Going back to the original matrix A, if we change a34 from 2 to 4, what is the determinant this time? (e) Suppose we want to change a single entry of A by 1 to make the determinant of the new matrix equal to 2. What entry of A could we change to do this? And to what number should we change it to?