This paper deals with the system of linear equations with matrix variables and gives the sufficient and necessary condition of consistency.

本文讨论以矩阵为变量的线性方程组，给出相容性的充要条件。

youdao

This paper pointed out that, auxiliary derivation can avoid the application of the system of linear equations, thus simplify the calculation process.

本文将指出，辅以求导法可避免线性方程组的应用，从而将计算过程简化。

youdao

, this is my plan, the fundamental problem of linear algebra, which is to solve a system of linear equations.

，这是我的计划：线代的基本问题是用来解线性方程组（system of linear equations）。

youdao

System of linear equations. What are the equations here? Well, I could say, you know, the number of pigs plus the number of 20 chickens equals 20, right? Because we've got 20 heads. And then what else do I have?

如何解决这个问题呢？,用线性方程式的办法来解决，等式是什么呢？你应该知道,猪的数量加鸡的数量等于,对吧？因为我们有20个头？

麻省理工公开课 - 计算机科学及编程导论课程节选