On the properties of the adjoint matrix of square matrix

The concept of the adjoint matrix of square matrix was firstly reviewed.The rank,the reversibility,the determinantt,he eigenvalue and eigenvectort,he symmetryt,he orthogonal and positive definite property of the adjoint matrix of square matrix were discussed.Thent,he adjoint matrix of the diagonal partitioned matrixt,he adjoint matrix of two inverse square matrix product and the adjoint matrix of the triangular matrix were discussed.And proved the above conclusions.