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1、簡(jiǎn)談畢業(yè)論文初稿簡(jiǎn)談畢業(yè)論文初稿導(dǎo)讀:3.n階行列式的計(jì)算方法..........................................93.1定義法....................................................93.2化為三角形法...........................................103.3降階法...............................................113.4遞推法......
2、....................目錄1.引言.........................................................12.n階行列式...................................................12.1n階行列式的概念.......................................12.2n階行列式的性質(zhì).......................................23.n階行列式的計(jì)
3、算方法..........................................93.1定義法....................................................93.2化為三角形法...........................................103.3降階法...............................................113.4遞推法..................................
4、..............113.5利用范德蒙行列式(Vandermonde)法.....................133.6加邊法(升階法).....................................143.7歸納法................................................153.8分解行列式法(拆項(xiàng)法).................................173.9分離線性因子法.........................
5、................183.10構(gòu)造法................................................193.11鑲邊法................................................203.12利用因式定理法........................................223.13利用拉普拉斯定理法....................................233.14交換元素法.........
6、..................................243.15利用乘法定理法.......................................243.16待定系數(shù)法..........................................253.17析因子法.............................................253.18公式法...............................................263.
7、19規(guī)律缺損補(bǔ)足法.......................................273.20特征根法.............................................284.n階行列式的應(yīng)用...........................................294.1行列式在證明微分中值定理中的應(yīng)用......................294.1.1拉格朗日(Lagrange)中值定理.....................294.1.2
8、柯西中值定理.....................................304.2行列式在求逆矩陣中的應(yīng)用...............................314.3行列式在多項(xiàng)式理論中的應(yīng)用.............................314.4行列式在解析幾何中的應(yīng)用...............................324.4.1在向量積、混合積中的應(yīng)用.................