&ccedil;&not;&not;1&ccedil;&laquo;&nbsp;&egrave;&iexcl;Œ&aring;ˆ—&aring;&frac14;

# ç¬¬1ç« è¡Œåˆ—å¼

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2008 春季班 线性代数 第 1 章 行列式 1 — 1 第 1 章 行列式 1.1 行列式的概念 n 阶行列式是一个数，是由 个数排成 行 列 的方阵 2 n n n nn n n n n a a a a a a a a a " " " " " " " 2 1 2 22 21 1 12 11 所决定的． 例如：二阶行列式 2 3 2 4 1 4 3 2 1 − = × − × = 二阶行列式一般的计算公式是 21 12 22 11 22 21 12 11 a a a a a a a a × − × = ． 三阶行列式的计算公式是 33 32 31 23 22 21 13 12 11 a a a a a a a a a 2008 春季班 线性代数 第 1 章 行列式 1 — 2 32 31 22 21 13 33 31 23 21 12 33 32 23 22 11 a a a a a a a a a a a a a a a × + × − × = ． 在 阶行列式中，去掉元素 所在的第 n ij a i 行和第 j 列，剩下的是一个 1 − n 阶行列式，叫做 的余子 式，记作 ij a ij M ． 13 13 12 12 11 11 33 32 31 23 22 21 13 12 11 M a M a M a a a a a a a a a a + − = 记 ij j i ij M A + − = ) 1 ( 称 ij A 为 的代数余子式. ij a 13 13 12 12 11 11 33 32 31 23 22 21 13 12 11 A a A a A a a a a a a a a a a + + = ． n n nn n n n n A a A a A a a a a a a a a a a 1 1 12 12 11 11 2 1 2 22 21 1 12 11 + + + = " " " " " " " " 2008 春季班 线性代数 第 1 章 行列式 1 — 3 例 1 x x x x x x x x − = − = = 2 ) 1 ( 1 1 1 1 1 1 1 ． 例 2 ! 3 2 1 2 1 n n n = = × = " " " " " " " " " " " " " " " 例 3 nn nn n nn n n a a a a a a a a a a a a a " " " " " " " " " " " " " " 22 11 2 22 11 2 1 22 21 11 = = = ． 2008...
View Full Document

{[ snackBarMessage ]}

### Page1 / 12

ç¬¬1ç« è¡Œåˆ—å¼

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online