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高等數(shù)學(xué)3物理類專業(yè)四川大學(xué)出版社第1章行列式習(xí)題答案詳解-資料下載頁(yè)

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【正文】 2222222222222313232232312cbcabacbcbcacacccbcbcacaccbbaaccbbaaccbbaaccbbaabccbbbaaarrrrcccccccc?????????????????????????????????????左邊 nnxxaxaaaaaxaaaaaxaaaaaxa??????????2121????( 3) nnninixxaxaaaaxxxcc ???????????2121,2,11000000000????左邊 證明: =右邊 12110122100001000000010001????????????nnnnnaxaxaxaxaxaxaa????????????( 4) 證明: 121101110110000100010001)1(0000000100001000000010001??????????????????????nnnnnaxaxaxxaxxxaxxxxa?????????????????????????????列按第展開(kāi)左邊14. 利用拉普拉斯定理計(jì)算行列式。 dcba100110011001???( 1) 解:按前兩行展開(kāi),非 0項(xiàng)有: adcdabdadcbaD?????????????? ??????)1)(1(011110)1(1111)1( 31212121000000000000222dacdbcabdcbdcbaaa( 3) 解:按前兩行展開(kāi),非 0項(xiàng)有: dacdbcabbdcaadacdbcabcdbaadacdbcabdcbaaD0000)1(0000)1(0000)1(253212512123121??????????????????? ?)()()()(11111122222222dcbdbccbdcaabdaccadcbabdaccadbcabdaccacbdabd?????????????????aaabbbbbbaaaDn?????2( 4) 解: 行n?????行n?????bababbababaababbabaan?????????????? 211)1(行按第展開(kāi))1(2221)12(2212)()1(?????????nnnDbaababbababababbabaa????????行按第展開(kāi)nnnnbaDbaDDbaD)()()(222222)1(2222???????????? ??15. 設(shè) 112111222211211121111)(????????nnnnnnnaaaaaaaaaxxxxP?????????其中 為 互不相同的實(shí)數(shù)。 121 , ?naaa ?解: 111211121222121211111)(????????nnnnnnnaaaxaaaxaaaxxP?????????)()()()())((212123121???????????nnnnaaaaaaxaxaxa????0?0)())(( 121 ????? ? xaxaxa n?的根為 0)( ?xP121 , ?? naaax ?
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