【摘要】 讨论了矩阵分块初等变换和分块初等阵的定义和性质,利用这一工具研究了行列式的分块运算,分块矩阵的求逆和对称阵的分块合同变换等问题.更多还原

【Abstract】 We present in this paper the concept of elementary transformation of a partition matrix,and then discuss several basic properties of the so-called partition-elementarymatrix. By use of this method,such problems as the partition algorithm of a determinant, how to calculate the inverse of matrix,congruent transformation of a symmetric partition matrix are thoroughly investigated.更多还原