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# §4 n 级行列式的性质 - PowerPoint PPT Presentation

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§5 行列式的计算

§1 引言

§6 行列式按行(列)展开

§2 排列

§3 n 级行列式

§7 Cramer法则

§8 Laplace定理

§4 n 级行列式的性质

§2.6 行列式按一行（列）展开

n级行列式 中将元素 所在的

②元素 的余子式和代数余子式与　 的大小

①行列式中每一个元素分别对应着一个余子式

n级行列式D = 的 中第i行所有

1.引理

2.定理

1.计算行列式

2.证明范德蒙行列式

倍，得

3.推论

∴ 当 时,

1. 综合定理及推论，有关于代数余子式的重要性质：计算行列式

2. 设　　　　　　　　 求