作者将矩阵分块法应用到高阶行列式的计算中，并给出了几个计算公式、算条件及方法和技巧。

We put block matrix method in the calculation of Higher-order determinant in this article and give some calculating formulas, methods of calculation, condition of calculation and skills.

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我们试对矩阵的广义初等变换作简要阐述并举例说明其在行列式求值、矩阵求逆及矩阵秩的有关证明等方面的应用。

We've studied that the wide-sense elementary transformation of a matrix, and illustrated its application in determinant calculation, matrix inversion and the rank of a matrix.

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