论文行列式解法及应用.doc

目 录 摘要 ..................................................4 Abstract...............................................4 引言...................................................5 1 行列式的定义和性质.............................................5 行列式的定义...............................................5 行列式的性质...............................................6 求解行列式的技巧.............................................8 定义法.....................................................8 化三角形法.................................................9 析因法....................................................10 连加法....................................................12 按行按列展开（降阶法）....................................13 递推法....................................................14 数学归纳法................................................15 加边法（升阶法）..........................................16 拆项法....................................................18 拉普拉斯法................................................20 利用范德蒙行列式法........................................21 1 行列式的定义和性质.............................................5 行列式的定义...............................................5 行列式的性质...............................................6 求解行列式的技巧.............................................8 定义法.....................................................8 化三角形法.................................................9 析因法....................................................10 连加法....................................................12 按行按列展开（降阶法）....................................13 递推法....................................................14 数学归纳法................................................15 加边法（升阶法）..........................................16 拆项法....................................................18 拉普拉斯法................................................20 利用范德蒙行列式法........................................21 行列式的应用................................................22 3.1 行列式在线性方程组中的应用................................23 3.2 行列式在初等代数中的应用.............................