inverse matrix: assume a is an n-order square matrix on the number field. if there is another n-order matrix b on the same number field, such that: ab=ba=e. then we say that b is the inverse matrix of a, and a is called an invertible matrix.

in sexual algebra, the adjoint matrix of a square matrix is ​​a concept similar to the inverse matrix. if a matrix is ​​invertible, then there is only one coefficient difference between its inverse and its adjoint matrix. however, adjoint matrices are also defined for irreversible matrices and do not require division.

in mathematics, a determinant is an expression generated by solving a system of linear equations. the characteristics of the determinant can be summarized as a multiple alternating linear form. this essence allows the determinant to become a function describing "volume" in euclidean space.