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计算元素为aij=|i-j|的n阶行列式

发布网友 发布时间:2024-09-27 18:45

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热心网友 时间:2024-10-04 04:59


设元素为aij=|i-j|的n阶行列式的为|A|,
则:
|A|=.01…n?2n?110…n?3n?221…n?4n?3?????n?2n?1…01n?1n?2…10.ri?ri?1,(i=n,n?1,…,2)...01…n?2n?11?1…?1?111…?1?1? ?  11…?1?111…1?1.
ci+cn(i=1,2,…,n?1)...n?1n…?1n?10?2…?2?100…?2?1???…已赞过已踩过你对这个回答的评价是?评论收起 ._1uevpeq{zoom:1;background-color:#fff;border:0;margin-bottom:10px;padding:30px 0 20px 42px;position:relative}._1uevpeq.ec-1841{padding:20px 0}._1uevpeq.ec-2246{padding:20px 0 10px}.ec-1841 .y7we4hu{font-size:16px;margin-bottom:-5px}.y7we4hu{color:#7a8f9a;height:25px;line-height:25px;overflow:hidden;position:relative}.y7we4hu h2{margin:0;padding:0}.y7we4hu:after{clear:both;content:" ";display:block;height:0;visibility:hidden}a.tycfu7u{color:#666;float:right;font-size:12px;margin-left:8px;text-decoration:none}.hhhv6ex{color:#666;font-size:13px;line-height:normal;line-height:20px;margin-top:10px}.vnsdjzp{margin-top:15px;position:relative}.vnsdjzp h3{font-weight:400;padding:0}.vnsdjzp a{text-decoration:none}.vnsdjzp em{color:#d81419;font-style:normal}.ec-2246 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热心网友 时间:2024-10-04 05:00


设元素为aij=|i-j|的n阶行列式的为|A|,
则:
|A|=.01…n?2n?110…n?3n?221…n?4n?3?????n?2n?1…01n?1n?2…10.ri?ri?1,(i=n,n?1,…,2)...01…n?2n?11?1…?1?111…?1?1? ?  11…?1?111…1?1.
ci+cn(i=1,2,…,n?1)...n?1n…?1n?10?2…?2?100…?2?1???…已赞过已踩过你对这个回答的评价是?评论收起 ._1uevpeq{zoom:1;background-color:#fff;border:0;margin-bottom:10px;padding:30px 0 20px 42px;position:relative}._1uevpeq.ec-1841{padding:20px 0}._1uevpeq.ec-2246{padding:20px 0 10px}.ec-1841 .y7we4hu{font-size:16px;margin-bottom:-5px}.y7we4hu{color:#7a8f9a;height:25px;line-height:25px;overflow:hidden;position:relative}.y7we4hu h2{margin:0;padding:0}.y7we4hu:after{clear:both;content:" ";display:block;height:0;visibility:hidden}a.tycfu7u{color:#666;float:right;font-size:12px;margin-left:8px;text-decoration:none}.hhhv6ex{color:#666;font-size:13px;line-height:normal;line-height:20px;margin-top:10px}.vnsdjzp{margin-top:15px;position:relative}.vnsdjzp h3{font-weight:400;padding:0}.vnsdjzp a{text-decoration:none}.vnsdjzp em{color:#d81419;font-style:normal}.ec-2246 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