Given the following 101x101 matrix: Akl where k and l are the row and column. Now Akl = (akl)=k^2+1 if k=l and (akl)=2*k*l else. I have to calculate the determinant of this matrix but have no clue how to start working, well I've some idea but it doesn't really help.
Formula of determinant, ... (perhaps induction).
The Attempt at a Solution
I calculated the determinant of this matrix in case it's a 1x1 matrix, 2x2, 3x3, 4x4 matrix and tried to find some law for the nxn case (then proof with induction), but I did not find a formula.