线代,求大佬助,谢谢!!! 线性代数问题,求大佬解决!(急)
\u7ebf\u6027\u4ee3\u6570\u8bfe\u540e\u4e60\u9898\uff0c\u6c42\u52a9!\u8bc1\u660e\u5f0f\u57fa\u5c31\u662f\u8bc1\u660e\u7ebf\u6027\u65e0\u5173\uff0c\u5316\u6210\u77e9\u9635\u6c42\u79e9\u5c31\u884c\u4e86\uff0c\u79e9\u4e3a3\u5c31\u662f\u57fa\uff0c
\u8bbe\u57fa\u4e3aA\uff0c\u53d8\u6362\u5750\u6807\u4e3ax \u6240\u4ee5 26\u7684\u5c31\u662f v=Ax
\u4e24\u8fb9\u5de6\u4e58A-1 \u5c31\u662f \uff08A-1\uff09v=x \u76f4\u63a5\u7b97\u51fa\u6765\u4e86
\u8fc7\u7a0b\u89c1\u56fe\u3002\u3002\u3002
会发现第1、4列相同,从而行列式为0
选B
绛旓細(AAT)T=AAT涓哄绉伴樀 R(A)=M,瀛樺湪P,PA=(E,0)xT(PA)(PAT)Tx=(xPT)TAAT(PTx)鏄剧劧鏈塒A姝e畾锛屾晠x涓嶄负闆讹紝鍙堝緱x涓嶄负闆讹紒鏁匬Tx涓嶄负闆讹紝鎵浠ユ瀹氾紒
绛旓細鐗瑰緛鍊2鏈変袱涓嚎鎬ф棤鍏崇殑鐗瑰緛鍚戦噺鏄洜涓2鏄2鐨勪簩閲嶇壒寰佸硷紝鍗崇壒寰佹柟绋嬬殑涓変釜瑙d箣涓湁涓や釜鏄2锛屾墍浠ュ搴旂殑2鏈変袱涓嚎鎬ф棤鍏崇壒寰佸悜閲
绛旓細瑙e鍥俱
绛旓細涓涓煩闃佃鍙嗛樀涔樻椂绉╀笉鍙橈紝鍙敱姝よ瘉鏄庤繖涓粨璁恒備笅鍥炬槸鏋勯犵殑鍙嗙煩闃典笌璇佹槑瑕佺偣銆
绛旓細鏄剧劧-2a1+3a2+a3=0 鑰4a1-a2+3a4=尾 閭d箞瀵逛簬闈為綈娆℃柟绋嬬粍(a1+尾,a1,a2,a3,a4,尾)鏄剧劧鏈夌壒瑙(0,4,-1,0,3)^T 鑰屾妸a1+尾浠e叆鍏朵腑 寰楀埌瀵瑰簲榻愭鏂圭▼閫氳В鍚戦噺(1,-3,3,1,0)^T 杩樻湁(0,-2,3,1,0)^T 浜庢槸瑙d负k1(1,-3,3,1,0)^T+k2(0,-2,3,1,0)^T+(0,4,-1,0,...
绛旓細鏄剧劧杩欓噷姣忎竴鍒楃殑鍏冪礌鐩稿姞 寰楀埌鐨勫拰閮芥槸闆 閭d箞鎶1锛2锛3琛岄兘鍔犲埌绗4琛 浜庢槸绗洓琛屽寲涓洪浂琛 鐒跺悗鍐峳2闄や互2 鍗冲緱鍒扮煩闃佃浆鍖栦负鍚庨潰鐨勭粨鏋
绛旓細A鐨勮鍒楀紡鍜孊鐨勮鍒楀紡鐨勪簰涓虹浉鍙嶆暟锛岀浉鍔犱负0锛屾墍浠ョ煩闃电浉鍔犳椂锛屽搴旂殑浣嶇疆鐨勫煎拰涓0锛屾墍浠+B鐨勮鍒楀紡涔熸槸0锛屾寜鐓ц繖绉嶆柟寮忓彲浠ヨ绠楀嚭缁撴灉
绛旓細濡傚浘
绛旓細|A|鍜寍B|涓涓槸1, 涓涓槸-1, 閭d箞|A+B|=|A(B+A)B|=|A|*|A+B|*|B|=-|A+B|, 璇存槑|A+B|=0
绛旓細鏄剧劧鎸夌収鍩烘湰鍏紡 榻愭绾挎ф柟绋嬬粍鐨勮В绌洪棿鐨勭淮鏁 鍗冲熀纭瑙g郴鎵鍚悜閲忕殑涓暟涓簄-r(A)涓嶅悓鐗瑰緛鍊艰偗瀹氭槸涓嶅悓鐗瑰緛鍚戦噺 杩欓噷鏄6锛2锛8锛1 浜庢槸鑷冲皯鏈4涓壒寰佸悜閲 鑰屼笉鑳借鐩镐技瀵硅鍖栵紝灏变笉鏄5涓 閭d箞灏辨槸4涓壒寰佸悜閲 寰楀埌5-r(A)=4锛屽嵆r(A)=1 ...