多个线性方程组有非零公共解的条件

The Conditions of Several Linear Equations Existing Nonzero Public Solutions

本文首先讨论了多个齐次线性方程组有非零公共解的必要条件和充要条件,然后讨论了多个非齐次线性方程组有非零公共解的充要条件。当齐次线性方程组的个数为2时的结论是其特例。

This paper first discusses the several homogeneous linear equations with nonzero public solution of the necessary conditions and necessary and sufficient conditions, and then discusses the necessary and sufficient conditions for several non-homogeneous linear equations which have a common solution of the non-zero. When the number of linear equation sets is two, the conclusion is a special case.