Positive definite symmetric matrix has maximal elements on diagonal
Let A be a positive definite symmetric matrix. Prove that for any column (or row) the maximal element of that list is on the diagonal. I've only been able to prove the weaker statement a_(i,i)+a_(j,j)>2*a_(i,j) for i not equal to j.
Re: Positive definite symmetric matrix has maximal elements on diagonal
So I guess you got up to there and you set and . You need to set and equal to values that are functions of . You should get cancellations and the desired result.