eij表示第i个元素是1,第j个元素是-1,其余元素都是零的n维向量,如何用matlab描述 请教数学高手：Eij为（i，j）-元素为1，而其余元素都是零...
\u8bbeA\u662fn\u9636\u65b9\u9635,Eij\u8868\u793a\u7b2c(i,j)\u5143\u7d20\u662f1\uff0c\u5176\u4f59\u5143\u7d20\u662f0\u7684\u57fa\u7840\u77e9\u9635\uff0c\u5219EijAEkj=____\u3002\u9898\u76ee\u5f88\u6e05\u695a\u3002
EijA\u8868\u793a\u7b2ci\u884c\u548cA\u7684\u7b2cj\u884c\u76f8\u540c\uff0c\u4f46\u5176\u4ed6\u884c\u7684\u5143\u7d20\u5747\u4e3a0\u7684\u77e9\u9635\u3002
AEkj\u8868\u793a\u7b2cj\u5217\u548cA\u7684\u7b2ck\u5217\u76f8\u540c\uff0c\u4f46\u5176\u4ed6\u5217\u7684\u5143\u7d20\u5747\u4e3a0\u7684\u77e9\u9635\u3002
\u90a3\u4e48EijAEkj\uff0c\u5c31\u662f\u8868\u793a\u7b2ci\u884c\u7b2cj\u5217\u7684\u5143\u7d20\u4e3aajk\u5176\u4ed6\u5143\u7d20\u4e3a0\u7684\u77e9\u9635\u3002\u5176\u4e2dajk\u4e3aA\u7684\u7b2cj\u884c\u7b2ck\u5217\u7684\u5143\u7d20\u3002
\u6545EijAEkj=ajkEij
\u4f8b\u5982\uff1a1 0 0
0 0 0
0 0 0
\u5c31\u662fE11
\u4f8b\u5982\uff1a0 0 0
1 0 0
0 0 0
\u5c31\u662fE21
假如i，j是一个数。n维是n*1吧！
程序：
eij=zeros(n*1）；
i= ；j= ；
eij（i）=1；eij（j）=-1；就行了
绛旓細閭ｄ箞i锛宩锛宯鏄畾鍊煎惂锛燂紵锛堝綋鐒秈锛宩涔熷彲浠ユ槸涓缁勬暟锛夈(n缁存槸n*n杩樻槸n*1锛燂級鍋囧i锛宩鏄竴涓暟銆俷缁存槸n*1鍚э紒绋嬪簭锛eij=zeros(n*1锛夛紱i= 锛沯= 锛沞ij锛坕锛=1锛沞ij锛坖锛=-1锛涘氨琛屼簡
绛旓細閭ｄ箞EijAEkj锛屽氨鏄琛ㄧず绗琲琛绗琷鍒楃殑鍏冪礌涓篴jk鍏朵粬鍏冪礌涓0鐨勭煩闃点傚叾涓璦jk涓篈鐨勭j琛岀k鍒楃殑鍏冪礌銆傛晠EijAEkj=ajkEij
绛旓細绾挎т唬鏁eij鐨勬剰鎬濓細鍙堝悕鍩烘湰鐭╅樀锛屽嵆aij=1锛鍏朵粬鍏冪礌涓闆躲俛ij鏄煩闃电殑绗琲琛锛岀j鍒楃殑鍏冪礌銆侫ij琛ㄧず鐭╅樀鐨勭i琛岋紝绗琷鍒楃殑鍏冪礌锛屾墍瀵瑰簲鐨勪唬鏁颁綑瀛愬紡銆侫B=0璇存槑鐨勬槸鐭╅樀A鍜岀煩闃礏鐩镐箻寰楀埌鐨勭煩闃垫槸0鐭╅樀锛堜篃灏辨槸鐭╅樀閲屾瘡涓椤归兘鏄0锛夈0鐭╅樀鐨勮鍒楀紡涓0銆備篃灏辨槸璇磡AB|=0銆傛牴鎹鍒楀紡鐨勬ц川|AB|...
绛旓細璁 Eij 涓 绗琲琛岀j鍒鍏冪礌涓1, 绗琷琛岀i鍒楀厓绱犱负1, 鍏朵綑鍏ㄦ槸0 鐨刵闃剁煩闃 鍒 Eij, i<=j 灏辨瀯鎴愪竴缁勫熀 鍏辨湁 n+(n-1)+...+1 = n(n+1)/2 涓 鎵浠ュ叾缁存暟涓 n(n+1)/2.鍥犱负n闃跺弽瀵圭О鐭╅樀涓诲瑙掔嚎涓婄殑鍏冪礌蹇呬负0, 涓绘帶鍏冪礌鏄富瀵硅绾夸笂鏂(涓嶅惈涓诲瑙掔嚎)鐨勫厓绱 鎵浠ュ叾缁存暟...
绛旓細灏嗗崟浣嶇煩闃电殑i琛(鍒)鍜j琛(鍒)浜掓崲寰楀埌鐨勭煩闃
绛旓細浠讳綍鐭╅樀涔樹互鍗曚綅鐭╅樀閮界瓑浜庤繖涓煩闃垫湰韬傛墍浠 EijE=Eij
绛旓細姝ら棶棰樺嵆锛氭壘鍒颁竴缁勫熀锛屼娇浠绘剰鐨刵闃跺疄瀵圭О闃电粍鍙鍩虹嚎鎬ц〃绀猴紝鍩虹殑涓暟鍗砎鐨勭淮鏁般侲11,E12...E1N, E22,...E2N,...ENN.锛堝叾涓Eij琛ㄧず绗琲琛宩鍒鍏冪礌鏄1,鍏朵粬鍏冪礌鏄0鐨勭煩闃.锛夊彲浣滀负涓缁勫熀銆俤imV=1+2+..+n= n(1+n)/2
绛旓細Eij鐨绗琲琛绗琷鍒鍏冪礌涓1锛鍏朵綑鍏冪礌涓0銆傜淮鏁帮細n(n+1)/2. 鍩猴細瀵硅绾垮厓鏄1锛屽叾浣欏叏鏄0鐨勫绉伴樀锛屽叡n涓紱绗琲琛岀j鍒楀拰绗琷琛岀i鍒椾负1锛屽叾浣欎负0鐨勫绉伴樀锛坕鍜宩涓嶇浉绛夛級锛屽叡n(n-1)/2涓紝鐩稿姞涓簄(n+1)/2涓傛ц川 鈶犺鍒楀紡A涓煇琛(鎴栧垪)鐢ㄥ悓涓鏁発涔,鍏剁粨鏋滅瓑浜巏A銆傗憽琛屽垪寮廇绛変簬...
绛旓細杩欎簺鍙樻崲鍙互鐢ㄧ煩闃典箻娉琛ㄧず锛屽嵆宸︿箻涓涓垵绛夌煩闃碉細浜ゆ崲鐭╅樀鐨勪袱琛屾垨涓ゅ垪锛氳浜ゆ崲鐭╅樀鐨勭i琛屽拰绗琷琛岋紙鎴栫i鍒楀拰绗琷鍒楋級浜ゆ崲锛屽垯鐩稿簲鐨勫垵绛夌煩闃典负Eij锛屽嵆鐭╅樀鐨勪富瀵硅绾垮厓绱犻兘涓1锛闄や簡绗琲琛屽拰绗琷琛岋紙鎴栫i鍒楀拰绗琷鍒楋級鐨鍏冪礌涓0澶锛岀i琛屽拰绗琷琛岋紙鎴栫i鍒楀拰绗琷鍒楋級鐨勫厓绱犲垎鍒负0鍜1锛屽嵆...
绛旓細楂樼瓑浠ｆ暟涓Eij鏄粈涔堟剰鎬?2013-06-20 12:43 鏈ㄥ瓙鏉庢 | 鏉ヨ嚜鎵嬫満鐭ラ亾 | 鍒嗙被:鐞嗗伐瀛︾ 鎴戞湁鏇村ソ鐨勭瓟妗堝垎浜埌: 鎸夐粯璁ゆ帓搴弢鎸夋椂闂存帓搴 3鏉″洖绛 2013-06-21 10:11鏁板濂界帺鍟123|鍗佺骇 涔熷彨鍩烘湰鐭╅樀,鍗砤ij=1,鍏朵粬鍏冪礌涓闆 璇勮| 2013-06-20 15:59钀т笁灏000| 鏉ヨ嚜鎵嬫満鐭ラ亾|鍥涚骇 鏂瑰悜鐭㈤噺, 璇勮| ...
