关于行列式的计算方法的探讨目 录摘要...................................................................................1关键词.................................................................................1Abstract...............................................................................1Key Words..............................................................................1一、引言...............................................................................2二、n 级行列式的定义....................................................................3三、n 级行列式的计算....................................................................3(一)化三角形法...................................................................3(二)降阶法.......................................................................4(三)加边升阶法(加边法).........................................................5(四)递推法.......................................................................6(五)归纳猜想法...................................................................7(六)拆分法(分块矩阵法).........................................................8(七)构造方程法(求根法)........................................................10(八)导数法(微分方程法)........................................................10(九)微积分法....................................................................12(十)克莱姆法则法和逆向运用克莱姆法则方法........................................12(十一)对角化法..................................................................13(十二)借助已知结果方法来计算行列式..............................................14(十三)用“过渡行列式”来计算....................................................15(十四)利用循环行列式的解法来解(乘以范德蒙行列式的方法)........................16四、总结..............................................................................18参考文献...........................................................................