full steps please

0 0 0 0 A = a C 0 0 0 -bc ad L d2 0 (a) Factorize det(A) into a product of linear factors (i.e. degree 1 polynomials) in a, b, c, d: det(A) = f1 . f2 . . . fm, where fi = a, b, c, d, or (a tb), (c td), ..., etc. Show your steps. (Hint: Start with -Rs + Ri or some other operation to equate det(A) with the determinant of a simpler matrix.) (b) Suppose a, b, c, d are all positive. Find a necessary and sufficient condition on a, b, c, d such that A is singular