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第六讲 - PowerPoint PPT Presentation


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第六讲. Laplace 展开 Cramer 法则. §1.5 行列式按一行 ( 列 ) 的展开. GA06. 余子式 :. Complement miner. 代数余子式 :. Algebraic Complement. 推论 1 :. k. 推论 2 :. k. Example4:. 例 16: 计算 n 阶三对角线行列式. 按第一列分项. 第 1 行提出公因子后. Example 6:. §6. 克莱姆 (Cramer) 法则. 推论 : 对于齐次线性方程组. 反证法 , 若有非零解. 唯一性 :. Example7:.

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slide1

第六讲

Laplace展开

Cramer法则

slide3

Complement miner

代数余子式:

Algebraic Complement

slide7

推论1:

k

推论2:

k

slide10

例16:计算n阶三对角线行列式

按第一列分项

第1行提出公因子后

slide18

Example7:

故方程组有唯一解

slide21

推论1:

i

j

推论2:

i

j