【摘要】 n阶方阵乘积的行列式定理 ,在工科《线性代数》教材中提及很少 ,然而这一定理有着广泛的应用。通常在此定理的证明中多用拉普拉斯定理 ,本文应用初等变换和向量空间来证明 ,使证明既简便又有所深化更多还原

【Abstract】 The determinantal theorem with n order matri product, which was seldom mentioned in the textbook linear Algebra for engineering students, is widely used.Usualy,in proving the theorem,Laplace theorem is applied.In this paper,the proof is done by elementary transformation and vector space,and it becomes simplified and deepened .更多还原