行列式计算中的几种技巧

Several techniques in envaluating the value of determinant

行列式的计算较复杂,常规的方法是利用行列式的定义和相关定理求解.讨论几种非常规的计算方法,如对称法、构造法和线性因子法等,根据所计算行列式的特点,选择恰当的方法将使得行列式的计算更加简便、快捷.

The calculation of determinant is complicated, the common way is to use the feature of determinant and the related theorems. Some uncommon methods were introduced, such as symmetry method, construction method and the linear factor method. Noting some characteristics in the determinant and choosing the appropriate method are beneficial to the calculations.