分块矩阵在矩阵计算题和证明题中的应用

Application of Block Matrix in the Calculation and the Proof of Matrix

在解决矩阵行列式的计算题和矩阵证明题时,结合矩阵的基本性质,并运用矩阵分块的方法,可简化计算和证明过程,在此以例题的形式讨论分块矩阵在矩阵计算和证明中的应用。

In solving revelant problems about the calculation of the determinant of a matrix and the proof of it, the application of block matrix, combined with the basic properties, can simplify the process of calculation and proof. This paper will use some examples to discuss the application of block matrix in computing determinant and in the proof of matrix.