矩阵可逆的判定及逆矩阵的求法（将所有内容，包括下边的补充全部翻译成标准的英文，论文用的，帮帮忙）

Decision method of matrix invertibility and method to find the inverse of matrix

Digest: In advanced algebra, matrix theory is one of the main aspects of linear algebra, as well as an important tool to help solving practical problems. In most of the matrix theorems and applications, the inverse of matrix plays a significant part. This paper shows different ways to decide whether a matrix is invertible, methods of finding the inverse of both general matrix and one particular set of matrices, and also how to find the inverse of matrix by Excel or Matlab.

Keyword: inverse of matrix, adjoint matrix, elementary transformation