1. The problem statement, all variables and given/known data 1) If A is a product of elementary matrices, show that det(adj(A))=(det(A))^(n-1) 2) Prove the above statement without the assumption on A 2. Relevant equations Hmm... Know A*adj(A)=det(A)*In (i.e. the n by n identity matrix) 3. The attempt at a solution Well I know the assumption implies the use of the equivalent theorems for invertible matrices...not sure how to set this up though. Have to show A as a n by n matrix in order to thoroughly prove it, but seems to get complicated quickly if trying to evaluate the adj(A)... Anyone clue me in on this?