1. The problem statement, all variables and given/known data Consider the matrices A = a1 a2 a3 b1 b2 b3 c1 c2 c3 and B = 3a1 4a2+5a1 6a3 3b1 4b2+5b1 6b3 3c1 4c2+5c1 6c3 How are the determinants of A and B related? DO NOT COMPUTE det(A)! 2. Relevant equations 3. The attempt at a solution I'm completely lost... I tried doing Kramer rule for det(B) but don't understand how I'm supposed to do this. I mean, I can see that the 2nd column of B is equal to 5 times the first plus 4 times the second columns of A, that the 1st column of B is 3 times the first column of A and that the 3rd column of B is 6 times the third column of A. But what am I meant to draw from this?