31,2213332112322311322113312312332211aaaaaaaaaaaaaaaaaa333231232221131211aaaaaaaaa例如3223332211aaaaa3321312312aaaaa3122322113aaaaa333123211333312321123332232211aaaaaaaaaaaaaaa一、余子式与代数余子式在阶行列式中,把元素所在的第行和第列划去后,留下来的阶行列式叫做元素的余子式,记作naijijn1ija.Mij记i+jijijA=-1M,叫做元素的代数余子式.ija例如444342413...
线性代数与空间解析几何知识点讲解行列式行列式按行(列)展开余子式和代数余子式范德蒙行列式行列式按行(列)展开线性代数与空间解析几何知识点讲解行列式按行(列)展开定理行列式按行(列)展开一.余子式和代数余子式一.余子式和代数余子式1.余子式:ijM123456789例如:元素6的余子式为例如:元素6的余子式为我们发现,的结果与元素6的大小无关,只与6所在的位置有关.23M在行列式中删去元素所在的第行和第列,留下元素保持原的...
行列式线性代数与空间解析几何典型题解析行列式按行(列)展开余子式和代数余子式范德蒙行列式行列式按行(列)展开线性代数与空间解析几何典型题解析行列式按行(列)展开定理行列式按行(列)展开每运用1次展开定理行列式降1阶运用行列式的展开定理计算思路计算思路()34341231234412A解答:例1对于行列式,计算.A3441234234134124123D123=234412123=0120710.123=012=4004行列式按行(列)展开例2计算...
行列式线性代数与空间解析几何典型题解析行列式按行(列)展开行列式按行(列)展开每运用1次展开定理行列式降1阶运用行列式的展开定理计算思路计算思路()34341231234412A解答:例1对于行列式,计算.A3441234234134124123D123=234412123=0120710.123=012=4004行列式按行(列)展开例2计算行列式31125134.20111533D解答:(法一)111213143112DAAAA313233342011DAAAA或者...
1.2.4DeterminantsExpandedbyRows(Columns)LinearAlgebra(2credits)31,2213332112322311322113312312332211aaaaaaaaaaaaaaaaaa333231232221131211aaaaaaaaaForexample3223332211aaaaa3321312312aaaaa3122322113aaaaa333123211333312321123332232211aaaaaaaaaaaaaaa1、CofactorandalgebraiccofactorInthe-orderdeterminant,whentherowthandthethcolumnoftheelementarecrossedout,th...
§1.4.2行列式按行(列)的展开111213212223313233aaaaaaaaa112233122331132132112332122133132231aaaaaaaaaaaaaaaaaa112233233212233121331321322231()()()aaaaaaaaaaaaaaa222321232122111213323331333132()aaaaaaaaaaaaaaa111112121313aAaAaA首先,观察一下3阶行列式与2阶行列式的联系:行列式等于它的任一行(列)的各元素与其对1122iiiiininDaAaAaAni,,2,11122jjj...