行列式化简 行列式化简，
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如下
绛旓細浠ヤ笅鏄叿浣撶殑鍖栫畝姝ラ锛氬皢绗2琛屽姞涓婄1琛岋紝灏嗙3琛屽姞涓婄2琛岋紝寰楀埌浠ヤ笅鐭╅樀锛氬皢绗3鍒楀姞涓婄2鍒楋紝灏嗙2鍒楀姞涓婄1鍒楋紝寰楀埌浠ヤ笅鐭╅樀锛氭牴鎹煩闃琛屽垪寮鐨勬ц川锛岀煩闃典笂涓夎褰㈢殑琛屽垪寮忕瓑浜庡瑙掔嚎鍏冪礌鐨勪箻绉紝鍥犳鎴戜滑鏈夛細|A| = 1 脳 (-3) 脳 (-3) = 9 鍥犳锛岃琛屽垪寮忕殑鍊间负 9銆傚笇鏈涜繖浜涙楠...
绛旓細1 琛屽垪寮忕殑鍖栫畝鍙互閫氳繃鍒濈瓑琛屽彉鎹㈡潵瀹炵幇銆2 鍒濈瓑琛屽彉鎹㈠寘鎷氦鎹袱琛屻佹煇琛屼箻浠ヤ竴涓潪闆跺父鏁般佹煇琛屽姞涓婂彟涓琛岀殑鑻ュ共鍊嶃3 鍙互閫氳繃杩欎簺鍙樻崲灏嗚鍒楀紡鍖栦负涓婁笁瑙掔煩闃垫垨鑰呭瑙掔煩闃碉紝鐒跺悗琛屽垪寮忕殑鍊煎氨鍙互鐩存帴璁＄畻鍑烘潵銆4 濡傛灉琛屽垪寮忎腑鏈変竴琛屾垨涓鍒楀叏鏄0锛屽垯琛屽垪寮忕殑鍊间负0銆5 鍙﹀锛屽鏋滆鍒楀紡涓煇琛岋紙鍒...
绛旓細鏂规硶涓锛氱1琛屼箻1鍔犲埌绗2琛, 寰 2 1 4 1 5 0 6 2 1 2 3 2 5 0 6 2 绗2琛屼笌绗4琛岀浉鍚, 鏁呰鍒楀紡绛変簬0銆傛柟娉曚簩锛氬皢琛屽垪寮忔寜绗洓琛屽睍寮, 寰楄鍒楀紡D = (-1)^5*5*10 + (-1)^7*6*(-6) + (-1)^8*2*7 = -50 + 36 + 14 = 0 鎵╁睍璧勬枡锛氳鍒楀紡鎬ц川锛 1銆佽鍒楀紡A...
绛旓細1.鐩存帴灞曞紑娉曪細灏嗙煩闃垫寜鐓ф煇涓琛屾垨鏌愪竴鍒楀睍寮锛岀劧鍚庡埄鐢ㄥ垎閰嶅緥鍜岀粨鍚堝緥杩涜鍖栫畝銆傝繖绉嶆柟娉曢傜敤浜庤緝灏忕殑鐭╅樀锛屼絾瀵逛簬杈冨ぇ鐨勭煩闃垫潵璇磋绠楅噺杈冨ぇ銆2.閫掓帹娉曪細閫氳繃閫掑綊鍦拌绠楀瓙鐭╅樀鐨勮鍒楀紡鏉ラ愭姹傚緱鍘熺煩闃电殑琛屽垪寮忋傞掓帹娉曞彲浠ユ湁鏁堝湴鍑忓皯璁＄畻閲忥紝鐗瑰埆鏄浜庣█鐤忕煩闃垫潵璇达紝璁＄畻鏁堢巼杈冮珮銆3.楂樻柉娑堝厓娉曪細...
绛旓細姝や负鐭╅樀鐨琛屽垪寮鐨鍖栫畝锛屾垜浠煡閬擄紝瀵硅鍒楀紡杩涜琛屽拰鍒楃殑鍒濈瓑鍙樻崲涓嶄細鏀瑰彉琛屽垪寮忕殑鍊硷紝浜庢槸鎴戜滑鍙樻崲濡備笅锛1銆佸皢琛屽垪寮忕涓琛屼箻浠-1鍒嗗埆鍔犲埌绗簩琛屽拰绗笁琛岋細2銆佸皢琛屽垪寮忕涓夊垪鍔犲埌绗竴鍒楋細3銆佸皢琛屽垪寮忕浜屽垪鍔犲埌绗竴鍒楋細4銆佸皢琛屽垪寮忕浜岃涔樹互鍊掓暟鍚庡姞鍒扮涓琛岋細5銆佸皢琛屽垪寮忕涓夎涔樹互鍊掓暟鍚庡姞鍒...
绛旓細鏂规硶A2锛氳娉曡繘琛屽垵绛夊彉鎹娇涔嬭兘鎻愬彇鍏洜寮忥紝鍥犱负鏈変簺琛屽垪寮涓嶄竴瀹氳兘鍒嗚В锛岀粰鍒嗚В鍥犲紡鐨勬満浼氱殑锛涙柟娉旳3锛氬鏋淎鏄3闃剁煩闃碉紝|位E-A|=位位位-tr(A)位位+tr(A*)位-det(A)銆傚叾涓細tr(A)=涓闃朵富瀛愬紡涔嬪拰锛屽嵆涓诲瑙掔嚎鍏冪礌涔嬪拰锛岀О涓虹煩闃电殑杩广倀r(A*)=浜岄樁涓诲瓙琛屽垪寮忎箣鍜岋紝瀵逛簬涓夐樁鐭╅樀锛屽悓鏃...
绛旓細浣犳槸鏃犳硶鎶婂洓涓1鍏ㄦ秷涓0鐨勶紝姣斿璇寸1 2 3鍒楅兘鍑忓幓绗洓鍒楋紝閭ｄ箞灏辨垚浜0 0 0 1锛屽彟涓変綅閮芥垚浜0锛岀鍥涘垪闅忎究鎬庝箞鍑忛兘涓嶄細鍙樼殑銆傚叧閿湪浜庝笉鑳藉悓鏃跺噺锛屾瘮濡傝绗1鍒楀噺绗4鍒楁垚浜0锛屼綘灏变笉鑳藉悓鏃剁敤绗4鍒楀噺绗1鍒楀彉鎴0浜嗭紝鍥犱负杩欎釜鏃跺欑涓鍒楀凡缁忓彉鎴愪簡0....
绛旓細1 2 3 绗2姝: 绗1琛屼箻 -1 鍔犲埌鍏朵綑鍚勮, 寰 1 2 3 4 0 1 1 -3 0 2 -2 -2 0 -1 -1 -1 绗3姝: r3 - 2r1, r4+r1, 寰 1 2 3 4 0 1 1 -3 0 0 -4 4 0 0 0 -4 鎵浠琛屽垪寮 = 10* (-4)*(-4) = 160.姣旇緝绠鍗曚簡鍚 ^_^ ...
绛旓細鎴栬呭彲浠ュ皢琛屽垪寮鍒嗗潡绛夛級鐒跺悗鍒╃敤杩欎簺鐗规畩鐨勭粨鏋勬湁鐩稿簲鐨勭畝渚胯繍绠椼2銆佸皢琛屽垪寮忓彉鎹负鏌愪竴琛屾垨鏌愪竴鍒楀彧鏈変竴涓笉涓洪浂鐨勫厓绱狅紝鍐嶅皢琛屽垪寮忔寜璇ヨ鎴栬鍒楀睍寮锛堣琛屾垨璇ュ垪涓嶄负闆剁殑鍏冪礌瓒婂皯瓒婂ソ锛屼竴鑸寲涓哄彧鍓╀竴涓紝杩欐牱鎸夎琛屾垨璇ュ垪灞曞紑鏃舵渶绠鍗曪級锛岃繖鏍峰氨鍙互杈惧埌闄嶉樁鐨勬晥鏋滐紝鍐嶄笉鏂鍖栫畝銆
绛旓細鍖栫畝涔嬪悗鐨勭煩闃垫墽琛岀涓夋锛屽彂鐜板彧瑕5鏉＄嚎灏辫兘鍒掓帀鎵鏈0锛屽皬浜庤鍒楁暟6锛岄渶瑕佹墽琛岀4姝 鍙嶅鎵ц涓ゆ鍚庯紝浼氬緱鍒版弧瓒冲ぇ浜庣瓑浜6鐨琛屽垪寮锛岀劧鍚庝粠鏈鍚庝袱鍒楅殢渚挎寫涓0寮濮嬪氨琛屼簡銆備絾鏄鏃舵瘡琛屾瘡鍒椾篃鐨勭‘鏈変袱涓互涓婄殑0锛屽師鍥犳槸浣犵殑琛屼笂姣忎袱琛岄兘鏄浉鍚岀殑 濡傛灉杞崲鎴愬疄闄呴棶棰橈紝涔熷氨鏄6涓汉锛屾瘡涓や釜浜哄仛浜...
