1. The problem statement, all variables and given/known data Use the given info to find matrix B 2. Relevant equations (I + 3B)^-1 = [5 2; 4 2] to make more clear: inv(I + 3B) = this 2x2 matrix: top row = 5 2, bottom row = 4 2 3. The attempt at a solution I tried multiplying both sides of the eqn by I + 3B to get I = [5 2; 4 2](I + 3B) Then tried to multiply the two quantities (using B = [a b; c d]) Tried to set that product equal to the identity matrix and solve for the unspecified constants, a b c d. After that I plugged the values into the the product found in the previous step I then should have acquired the correct matrix B, but alas, it wasn't even close. If I am overlooking some elementary matrix 'algebra', or any hints at all would be greatly appreciated. Thank you!