文献[1]给出了结论:如果n阶方阵A的每一行(列)所有元素之和均相等,则A的伴随矩阵A*的每一行(列)所有元素之和也相等.给出了新的证明方法,并在此证明方法的基础上讨论了它的逆命题.
Let A be an n×n-matrix.A* stands for its adjoint matrix.It was proved in [1] that,if the sum of all entries on each row(column)of A is equal to each other,then it is also so for A*.A new proof of the above result was given,and studied the inverse proposition of it on base of the idea of this new proof.