一个行列式猜想的证明

A Proof of a Determinant Conjecture

对两个行列式不等式猜想给出证明.本质上使用循环矩阵的办法证明:当n为奇数时,行列式可以分解为一些二次式的乘积;当n为偶数时,行列式可以分解为一些二次式和一个一次式的乘积.

In this paper,we give a proof of two determinant inequality conjectures.Essentially,we use a cyclic matrix approach to prove that the determinant can decompose to quadratic polynomials when n is odd;the determinant can decompose to quadratic polynomials and a linear polynomial when n is even.