线性方程组解法的两个推广

Two Generalizations of Solutions to Linear Equations

线性方程组的解法是线性代数一个重要内容,求解线性方程组,常用解法为高斯消元法.在此基础上,我们可以将其解法推广到两类特殊的方程组上来.本文介绍了一类特殊的非线性方程组与复系数线性方程组,并通过将它们转化成线性方程组来判断其解的情况.

The solution to linear equations is an important part of linear algebra. The commonly used solution to linear equations is Gaussian elimination. On the basis of the Gaussian elimination, the solution can be general- ized to two special types of equations. In this particle, a type of special nonlinear equations and complex coefficient linear equations are introduced and judged by transforming them into linear equations; and specific examples are presented.