不太明白A的列向量，a1....an为什么是横着写，列向量按定义不是竖着写么，求解，谢谢 为什么在做向量题的时候有的要竖着写有的要横着写
\u5bf9n*m\u77e9\u9635\uff0c\u6309\u5217\u5206\u5757\u662f\u884c\u5411\u91cf\u8fd8\u662f\u5217\u5411\u91cf\uff1f\u6a2a\u7740\u5199\u8fd8\u662f\u7ad6\u7740\u5199\uff1f\u4e0d\u8981\u4ece\u5f62\u5f0f\u4e0a\u770b\uff0cn\u4e2abeta\u6784\u6210\u7684\u662f\u4e2a\u77e9\u9635\uff0c\u6bcf\u4e2abeta\u5411\u91cf\u90fd\u662f\u4e2a\u5217\u5411\u91cf\uff0cbata_1\u662f\u77e9\u9635B\u7684\u7b2c\u4e00\u5217\uff0c\u2026\u2026\uff0cbeta_n\u662f\u77e9\u9635B\u7684\u7b2cn\u5217\uff0c\u8fd9\u91cc\u53ea\u4e0d\u8fc7\u662f\u77e9\u9635B\u6362\u4e86\u4e2a\u5199\u6cd5\u800c\u5df2\u3002\u6ce8\uff1a\u6bcf\u4e2abeta\u90fd\u662f\u4e2a\u5217\u5411\u91cf\u800c\u975e\u6570\u5b57
\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u5199\u6210\u884c\u5411\u91cf\u548c\u5217\u5411\u91cf\u6c42\u7684\u7ed3\u679c\u662f\u4e00\u6837\u7684\uff0c\u50cf\u8fd9\u4e24\u9898\u5c31\u662f\uff0c\u4e24\u79cd\u5199\u6cd5\u90fd\u80fd\u6c42\u51fa\u7ed3\u679c\uff0c\u4f60\u770b\u7684\u4e66\u4e0a\u53ea\u7ed9\u51fa\u4e86\u4e00\u79cd\u65b9\u6cd5\uff0c\u5176\u5b9e\u4e24\u79cd\u65b9\u6cd5\u90fd\u662f\u53ef\u4ee5\u7684\uff0c\u89e3\u6cd5\u5982\u4e0b\uff1a\u6709\u4e00\u79cd\u7279\u6b8a\u7684\u60c5\u51b5\u4f60\u8bb0\u4f4f\u5c31\u884c\u4e86\uff0c\u90a3\u5c31\u662f\u5728\u6c42\u6781\u5927\u7ebf\u6027\u65e0\u5173\u7ec4\u7684\u65f6\u5019\uff0c\u4e0d\u7ba1\u9898\u76ee\u7ed9\u51fa\u7684\u662f\u884c\u5411\u91cf\u6216\u8005\u5217\u5411\u91cf\uff0c\u90fd\u5199\u6210\u5217\u5411\u91cf\u7684\u77e9\u9635\u5f62\u5f0f\uff0c\u7136\u540e\u518d\u505a\u521d\u7b49\u884c\u53d8\u6362\uff0c\u8fd9\u662f\u56e0\u4e3a\u5217\u5411\u91cf\u4e0d\u6539\u53d8\u884c\u5411\u91cf\u7684\u76f8\u5173\u6027\u3002
然后这些列，是横向排列的啊，没问题啊。
绛旓細闃鐭╅樀锛 鍏剁З涓 1锛 鍏跺瑙掑厓涔嬪拰鍗崇煩闃电殑杩逛篃涓 1锛屽垯鍏剁壒寰佸间负 1锛 0锛 0, ..., 0銆備緥濡 伪 = (cost, sint)^T, 伪伪T = [(cost)^2 costsint][sintcost (sint)^2]鍏剁З r(伪伪T) = 1, 鍏惰抗 tr(伪伪T) = 1锛 鏁呯壒寰佸间负 1锛 0....
绛旓細鍥犱负灏咥鎸夊垪鍒嗗潡寰 C = AB= (伪1,.,伪s) B 锛屾牴鎹垎鍧楃煩闃电殑涔樻硶鍏紡锛孋 鐨勭1鍒灏辩瓑浜 伪1,.,伪s 鍒嗗埆涔楤鐨勭1鍒楃殑鍚勫厓绱犱箣鍜屻傚嵆 C 鐨勭1鍒楀彲鐢鍒楀悜閲绾挎ц〃绀恒傚叾涓璄1锛孍3鍒嗗埆琛ㄧず1闃躲3闃跺崟浣鐭╅樀锛O琛ㄧず1脳3鐨勯浂鐭╅樀锛岃 鍚屾椂鍙堝洜涓哄悓涓涓煩闃靛彲浠ユ湁澶氱涓嶅悓鐨勫垎鍧楁柟娉...
绛旓細浣犺鎶A鐨勫垪鍚戦噺涓巄鐨勭嚎鎬у叧绯讳笌鏂圭▼缁勭殑瑙ｈ仈绯昏捣鏉 a2=2a1-3a3 鍗 2a1-a2-3a3=0 璇存槑 (2,-1,-3,0)^T 鏄 Ax=0 鐨勮В a4=-a1+a3 鍗 a1-a3+a4 = 0 璇存槑 (1,0,-1,1)^T 鏄 Ax=0 鐨勮В b=a1+2a3-a4 璇存槑 (1,0,2,-1)^T 鏄 Ax=b 鐨勮В 鑰 a1,a3 鏄疉鐨...
绛旓細4涓夊垪锛屾晠伪1锛伪2锛屛3鏄鍒楀悜閲缁鐨勪竴涓渶澶х嚎鎬ф棤鍏崇粍锛庯紙2锛変护锛埼1锛屛2锛屛3锛屛4锛=102001?1000010000锛屽垯鍙煡k1伪1+k2伪2+k3伪3+k4伪4=0涓巏1尾1+k2尾2+k3尾3+k4尾4=0鍚岃В锛幬3锛<div style="background: url('http://hiphotos.baidu.com/zhidao/pic/item/fc1f4 ...
绛旓細褰揳m+1涓a1鈥攁m绾挎ф棤鍏虫椂 锛坅m+1涓嶅彲浠ョ敱a1鈥攁m绾挎ц〃鍑猴級B鐨勭З涓篟(A)+1 褰揳m+1涓巃1鈥攁m绾挎х浉鍏虫椂 锛坅m+1鍙互鐢盿1鈥攁m绾挎ц〃鍑猴級B鐨勭З涓篟锛圓锛夌患涓婃墍杩 R(B)<=R(A)+1 鎸夌収涓婇潰鐨勮瘉鏄庡嵆鍙 琛ュ厖锛氬悜閲忕粍A绾挎ф棤鍏崇瓑浠蜂簬A鐨勫垪鍚戦噺缁勭嚎鎬ф棤鍏 绛変环浜嶢婊＄З A鐨勫垪鍚戦噺缁勭嚎鎬ф棤...
绛旓細B杩樻槸鍐欐垚(b_ij)锛 b_ij琛ㄧずB鐨(i,j)浣嶇疆 鐒跺悗鐢ㄥ垎鍧鐭╅樀涔樻硶绠桝B=[ A_1b_11+A_2b_21+...+A_nb_n1, A_1b_12+A_2b_22+...+A_nB_n2, ..., A_1b_1n+A_2b_2n+...+A_nb_nn]=0 鍥犱负B鏄潪闆剁殑锛屾墍浠鏈変竴鍒楁槸涓嶅叏涓洪浂鐨勶紝涓嶅Θ璁句綅绗涓鍒锛屾墍浠ヤ粠涓婇潰鐨勫紡瀛愰噷...
绛旓細鐭╅樀a=(a1.a2.鈥n)t鈮0锛屽垯aat鐨勭З蹇呬负1銆傚湪绾挎т唬鏁颁腑锛屼竴涓鐭╅樀A鐨勫垪绉╂槸A鐨勭嚎鎬х嫭绔嬬殑绾靛垪鐨勬瀬澶ф暟鐩傜被浼煎湴锛岃绉╂槸A鐨勭嚎鎬ф棤鍏崇殑妯鐨勬瀬澶ф暟鐩傚嵆濡傛灉鎶婄煩闃电湅鎴愪竴涓釜琛屽悜閲忔垨鑰鍒楀悜閲忥紝绉╁氨鏄繖浜涜鍚戦噺鎴栬呭垪鍚戦噺鐨勭З锛屼篃灏辨槸鏋佸ぇ鏃犲叧缁勪腑鎵鍚悜閲忕殑涓暟銆
绛旓細濡傛灉瀛樺湪涓嶅叏涓洪浂鐨勬暟 k1,k2,路路路,km ,浣縦1 a1+ k2 a2+ 路路路+ km am= 0,鍒欑О鍚戦噺缁凙鏄嚎鎬х浉鍏崇殑,鍚﹀垯绉板畠鏄嚎鎬ф棤鍏.鍙湁涓涓悜閲忓鏋滈潪瑕佸畾涔夌殑璇濆彧鑳借瀹冩槸鍜岃嚜宸辩嚎鎬х浉鍏崇殑锛坣 k1+(-n)k1=0,n灞炰簬R涓攏涓嶇瓑浜0锛,涓や釜鐨勮瘽灏辨槸瀛樺湪涓嶅叏涓洪浂鐨勬暟k1,k2浣垮緱k1 a1+ k2 a2...
绛旓細璁疚绘槸B鐨勭壒寰佸, x鏄疊鐨勫睘浜幬荤殑鐗瑰緛鍚戦噺, 鍒 Bx=位x.鍥犱负 P^-1AP = B, 鎵浠 P^-1APx = Bx = 位x 鎵浠 A(Px) = 位(Px).鍗虫湁: 鑻鏄疊鐨勫睘浜庣壒寰佸嘉荤殑鐗瑰緛鍚戦噺, 鍒橮x鏄疉鐨勫睘浜庣壒寰佸嘉荤殑鐗瑰緛鍚戦噺 鎵浠, A鐨绾挎ф棤鍏崇殑鐗瑰緛鍚戦噺涓 b1 = Pa1=(1,0,1)'.b2 = Pa2=(19...
绛旓細(1) 瀹氫箟: 鑻ュ瓨鍦ㄤ竴缁勪笉鍏ㄤ负0鐨勬暟浣垮緱 k1a1+...+ksas=0, 鍒欑О鍚戦噺缁a1,...,as绾挎х浉鍏 鍒ゅ埆鏂规硶:a1,...,as绾挎х浉鍏崇殑鍏呰鏉′欢鏄綈娆＄嚎鎬ф柟绋嬬粍(a1,...,as)X=0鏈夐潪闆惰В.a1,...,as绾挎х浉鍏崇殑鍏呰鏉′欢鏄 r(a1,...,as)<s n涓猲缁村悜閲忕嚎鎬х浉鍏崇殑鍏呰鏉′欢鏄畠浠瀯鎴愮殑琛屽垪寮忕瓑浜0...
