矩阵方程的几个研究结论

Several Research Conclusions of Matrix Equation

矩阵方程的定义可以从一般方程自然导出,从矩阵的行空间和列空间等浅显的知识出发得到关于一般矩阵 方程AX=B,A∈F^(m×n),B∈F^(n×p)是否有解?有多少解?它的解的结构如何等问题的完满结论.

The definition of matrix equation can be derived naturally from general equation, starting with the simple knowledges of row space and columnspace of matrix, we can get results of general matrix equation AY = B, A∈Fm×n, B∈Pn×p, that are there solutions and how many solutions? and the perfect conclusions of the problems such as how is its constructure of solution also can be made.