Which are true for square matrices A and B a detAB detA de

Which are true for square matrices A and B? a) det(AB) - det(A) + det(B) b) det (A) det (B) if A is row equivalent to B using only type 3 row operations. c) If dct(AB) = 1 then A is inevertible. d) If det(AB^-1) = det(A)/det(B) as long as det(B) notequalto 0 e) If A and B are both inevertible, then AB is also inevertible.

Solution

a) false

b) true

c) true

d) true

e) we cant say exactlysome times it was true