四阶行列式中含a11的项有多少个? 写出四阶行列式中含有因子a11a23的项

\u56db\u9636\u884c\u5217\u5f0f\u4e2d\u542b\u6709\u56e0\u5b50a11a23\u7684\u9879\u6709\u54ea\u4e9b\uff1f


\u56db\u9636\u884c\u5217\u5f0f\u4e2d\u542b\u6709\u56e0\u5b50a11a23\u7684\u4e00\u822c\u9879\u4e3a:
(-1)^t(13st) a11a23a3sa4t
\u5176\u4e2ds,t\u5206\u522b\u53d6\u503c2,4
\u6240\u4ee5\u6709 (-1)^t(1324) a11a23a32a44 , (-1)^t(1342) a11a23a34a42
\u5373 - a11a23a32a44 , a11a23a34a42

四阶行列式总共有4!=24个展开项,此时【不指定】任一元素;
其中,含有【一个】指定元素的项有 3!=6 项;
含有【两个】指定元素的项有 2!=2 项;
含有【三个】指定元素的项只有1!=1 项 。(第四个元素自然决定)
所以,四阶行列式中含a11的项有 6 个。

  • 鍥涢樁琛屽垪寮灞曞紑寮鏈夊灏椤
    绛旓細1銆鍥涢樁琛屽垪寮灞曞紑锛屽叡鏈4涓笉鍚岀殑涓夐樁琛屽垪寮忥紱2銆佹寜銆愯鍒楀紡灞曞紑瀹氱悊銆,4闃惰鍒楀紡灞曞紑鎴愪綆涓闃剁殑涓夐樁琛屽垪寮忔椂,鏈夊洓涓垎琛屽垪寮忥紱缁х画銆愬睍寮銆戜笅鍘,姣忎釜3闃惰鍒楀紡鍙互銆愬睍銆戞垚3涓2闃惰鍒楀紡锛涙瘡涓2闃惰鍒楀紡鍙互銆愬睍銆戞垚2椤.鎵浠ュ叏閮ㄥ睍寮鍚庡叡鏈 4!=24椤光斺斿拰瀹氫箟鎻忚堪鐨勭浉鍚!D4=a11A11+a12A12+...
  • 鍥涢樁琛屽垪寮忕殑瀹屽叏灞曞紑寮忔槸浠涔,浜屽崄鍥涢」鐨勯偅涓傚彲浠ョ殑璇濆啀璇翠竴涓嬪師
    绛旓細D4=a11A11+a12A12+a13A13+a14A14=a11M11-a12M12+a13M13-a14M14銆傜敱瀵硅绾垮叧绯诲彲鐭ワ紝鍦ㄦ瘡涓娆℃墍寰楃殑涔樼Н涓紝姣忎竴涓厓绱犲彧鑳芥湁涓ゆ潯绾跨粡杩囷紝鎵浠ヤ竴涓厓绱犲彧鑳藉湪涓や釜涔樼Н涓嚭鐜帮紝鍏变綔涓夋鍥捐〃锛屽彲浠ュ緱鍏椤瑰惈鏈璇ュ厓绱犮傚湪n闃惰鍒楀紡涓锛屽綋棣栭夋煇涓涓厓绱犱负鏌愪竴灞曞紑椤逛腑鐨勫厓绱犳椂锛屽叾浣欏厓绱犵殑閫夋嫨鍙兘浠...
  • 鍥涢樁琛屽垪寮鍏紡?
    绛旓細a43a34a22a11+a14a32a21a13-a42a31a23a14+a11a24a32a43-a14a22a33a41+a12a23a31a44-a13a21a34a42+a41a34a22a13-a44a32a23a11+a42a33a21a14-a43a31a24a12銆俷闃惰鍒楀紡绛変簬鎵鏈夊彇鑷笉鍚岃涓嶅悓鍒楃殑n涓厓绱犵殑涔樼Н鐨勪唬鏁板拰锛岄嗗簭鏁颁负鍋舵暟鏃跺甫姝e彿锛岄嗗簭鏁颁负濂囨暟鏃跺甫璐熷彿锛屽叡鏈塶!椤广鍥涢樁琛屽垪寮忕殑...
  • 鍥涢樁琛屽垪寮忔湁澶氬皯椤
    绛旓細4.鍚屽墠鐞嗗彲寰楀涓嬪叓椤癸細鈶a11a24a32a43,a14a22a33a41,a12a23a31a44,a13a21a34a42,a41a34a22a13,a44a32a23a11,a42a33a21a14,a43a31a24a12,鈶¤繖鍏」鐨勭鍙峰彲鐢卞畠浠殑涓嬫爣鎺掑垪鐨勯嗗簭鏁扮‘瀹氾紝涓嶉毦鐭ラ亾锛屾鍏」鐨勭鍙蜂粛鏄璐熺浉闂寸殑銆傗憿缁煎悎涓夋鍙樺舰锛屽叾绗﹀彿纭畾鏂规硶锛屽彲寰鍥涢樁琛屽垪寮忕殑鍙婂睍寮濡備笅锛欴...
  • 鍐欏嚭鍥涢樁琛屽垪寮忎腑鍚湁鍥犲瓙a11a23鐨勯」銆傝缁欏嚭鍒嗘瀽鍜岃В棰樿繃绋,鏈濂界畝鍗...
    绛旓細杩欐槸鍚屾祹绗簲鐗堢嚎鎬т唬鏁扮殑璇惧悗涔犻3銆傚惈鍥犲瓙a11a23鐨勯」鐨涓鑸舰寮忎负锛-1锛塼a11a23a3ra4s,鍏朵腑r鍜宻鏄2鍜4鏋勬垚鐨勬帓鍒楋紝杩欐牱鐨勬帓鍒楀叡鏈変袱涓紝鍗24鍜42銆傛墍浠ュ惈鍥犲瓙a11a23鐨勯」鍒嗗埆涓 锛-1锛塼a11a23a32a44=-a11a23a32a44锛岋紙-1锛塼a11a23a34a42=a11a23a32a44銆
  • 鍥涢樁琛屽垪寮忎腑甯﹁礋鍙蜂笖鍖呭惈鍥犲瓙a11鍜宎23鐨勯」涓
    绛旓細瑙o細鍥涢樁琛屽垪寮忎腑鍚鍥犲瓙a23涓斿甫璐熷彿鐨勯」锛-a14a23a31a42 -a11a23a32a44 -a12a23a34a41 鍥犱负涓婇潰锛4,3,1,2锛夛紙1,3,2,4锛夛紙2,3,4,1锛夌殑閫嗗簭鏁伴兘鏄鏁帮紝鏁呬负璐
  • 鍐欏嚭鍥涢樁琛屽垪寮忎腑鍚湁鍥犲瓙a11a23鐨勯」(瑕佸垎鏋愯繃绋,璋㈣阿浜!)
    绛旓細-a11a23a32a44 鍜宎11a23a34a42 琛屾寜1銆2銆3銆4椤哄簭鍐 鍒楃敱浜庨鐩姹傦紝宸茬粡鏄1銆3浜嗭紝閭d箞鍓╀笅涓や釜鍙彇2銆4鎴4銆2 娉ㄦ剰瑕佺畻閫嗗簭鏁帮紝鍓嶈呮湁涓礋鍙枫
  • 鍥涢樁琛屽垪寮忎腑鍚湁a11a23鐨勯」,杩欓鎬庝箞鍐
    绛旓細璁颁綇琛屽垪寮姹傛瘡涓涓Н鏃朵緷娆′粠姣忎竴琛屽彇涓涓厓鍥犲瓙锛岃岃繖姣忎竴涓厓鍥犲瓙鍙堥渶鍙栬嚜涓嶅悓鐨勫垪 鐜板湪宸茬粡鏈変簡a11a23锛岄偅涔堝彲鑳芥槸a11a23a32a44銆乤11a23a34a42 鍐嶇‘瀹氬叾姝h礋鍙峰嵆鍙
  • 绾挎т唬鏁:姹鍥涢樁琛屽垪寮忎腑鍚玜11a23鐨勯」
    绛旓細鍒樿佸笀鐨勭瓟妗堣鐨勪笉澶熸竻妤氳屽凡锛屾垜浣滃皬灏忚ˉ鍏呫1銆侀嗗簭鏁拌窡鏈夊嚑椤规棤鍏崇殑锛屾病鏈夊洜鏋滃叧绯汇2銆鍚湁a11a23鐨勯」 灏辨槸a11a23a3ia4j 姣忛」鐨勭涓涓笅鏍囨槸涓涓『搴1234 绗簩涓笅鏍囨槸13ij锛岃繖閲屽彧鍓2鍜4鍙変簡銆3銆佹璐熷氨鏄-1鐨勯嗗簭鏁版鏂广備緥濡傦細褰搃=2 j=4鏃 閫嗗簭鏁 t(1324)=1 鎵浠ユ椤...
  • 琛屽垪寮 濡傚浘
    绛旓細鏍规嵁琛屽垪寮忕殑瀹氫箟锛岄偅涔4闃惰鍒楀紡灞曞紑鍏辨湁4锛侀」锛屾瘡涓椤归兘鏄彇鑷笉鍚岃涓嶅悓鍒楃殑4涓厓绱犵殑涔樼Н锛岀鍙峰彇鍐充簬涓嬫爣鎺掑垪鐨勫鍋舵с傞偅涔堟湰闂涓紝瑕佹弧瓒冲嚭鐜皒^3鐨勯」锛屽氨鍙兘鏄涓琛岀殑绗竴涓紝绗簩琛岀殑绗笁涓紝绗笁琛岀殑绗簩涓紝绗洓琛岀殑绗洓涓紝鍗a11a23a32a44.
  • 扩展阅读:行列式a11+a12+a13+a14 ... 行列式中m11什么意思 ... 行列式m11和a11的关系 ... 四阶行列式硬算公式 ... 行列式大写a11是什么 ... 行列式a11的计算方法 ... 行列式a11 什么意思 ... 行列式中a11怎么算 ... n阶行列式展开不含a11 ...

    本站交流只代表网友个人观点,与本站立场无关
    欢迎反馈与建议,请联系电邮
    2024© 车视网