行列式的若干计算技巧与方法目 录摘要.......................................................1关键字.....................................................11.行列式的概念及性质.......................................2 阶行列式的定义...........................................2 行列式的性质..............................................22.行列式计算的几种常见技巧和方法...........................4 定义法....................................................4 利用行列式的性质..........................................5 降阶法....................................................7 升阶法（加边法）..........................................9 数学归纳法...............................................11 递推法...................................................123. 行列式计算的几种特别技巧和方法.........................14 拆行（列）法.............................................14 构造法...................................................17 特征值法.................................................184. 几类特别行列式的计算技巧和方法.........................19 三角形行列式.............................................19 “爪”字型行列式.........................................19 “么”字型行列式.........................................21 “两线”型行列式.........................................22 “三对角”型行列式.......................................23 范德蒙德行列式...........................................255. 行列式的计算方法的综合运用.............................26 降阶法和递推法...........................................27 逐行相加减和套用范德蒙德行列式...........................27 构造法和套用范德蒙德行列式...............................28小结......................................................29参考文献..................................................30学习体会与建议............................................31摘要：行列式是高等代数的一个基本概念，求解行列式是在高等代数的学习中遇到的基本问题，每一种复杂的高阶行列式都有其独特的求解方法．本文主要介绍了...
