[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fBdeSDSSccSCtkUaij_v0kx5sL--ET9_ua3auxZNTRKc":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2024-05-18 01:06:58",144340045,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F63a174e756ea62f175722f535ac403cb.png\">线性无关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb214e40ac663fa5178f4e7de40c79a7f.png\">线性无关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa7a163feb31913872289579d26aa895c.png\">线性无关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fef2d3aade0a7f1433f99c722513b04b3.png\">线性无关",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},15,"08b444404ba842ca036bc6b539f0dd06","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4ff37e64af843878dd1500d02f709f83.png","线性代数","1bce571866024666adbad1259467815d","第三章 测验","已知向量组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6fd9d689de21f7141be9d439478bd86c.png\">线性无关则向量组【 】",[21,32,41,50,59,68,71,80,89,98],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],144340040,[25,26,27,28],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd833a0c2b0bce2c523c995ca57955366.png\">中任意两个向量都线性无关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd833a0c2b0bce2c523c995ca57955366.png\">中存在一个向量不能用其余向量线性表示","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd833a0c2b0bce2c523c995ca57955366.png\">中任一个向量都不能用其余向量线性表示","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd833a0c2b0bce2c523c995ca57955366.png\">中不含零向量","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5fec55d3afca0775ec3f88202706a2cc.png\"> 维向量组 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd833a0c2b0bce2c523c995ca57955366.png\">(\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe4b88f9a7bad700a53dd7c17cce42019.png\">)线性无关的充要条件是【 】","v1",0,{"answer":33,"createTime":5,"id":34,"options":35,"question":40,"source":30,"type":31},[],144340041,[36,37,38,39],"任意\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1dac517aff62a020fcb3bbd85e78ab3f.png\">个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F18e3a55098294159eb8c770c3d1d6ba5.png\">维向量线性相关","任意\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1dac517aff62a020fcb3bbd85e78ab3f.png\">个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F18e3a55098294159eb8c770c3d1d6ba5.png\">维向量线性无关","任意\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F18e3a55098294159eb8c770c3d1d6ba5.png\">个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1dac517aff62a020fcb3bbd85e78ab3f.png\"> 维向量线性相关","任意\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F18e3a55098294159eb8c770c3d1d6ba5.png\">个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1dac517aff62a020fcb3bbd85e78ab3f.png\"> 维向量线性无关","下列命题中正确的是【 】",{"answer":42,"createTime":5,"id":43,"options":44,"question":49,"source":30,"type":31},[],144340042,[45,46,47,48],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F54f4567d5d1aa85ddf2c5f3ce75ecf98.png\">的列向量线性无关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F54f4567d5d1aa85ddf2c5f3ce75ecf98.png\">的列向量线性相关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F54f4567d5d1aa85ddf2c5f3ce75ecf98.png\">的行向量线性无关","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F54f4567d5d1aa85ddf2c5f3ce75ecf98.png\">的行向量线性相关","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F54f4567d5d1aa85ddf2c5f3ce75ecf98.png\">为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5e07d4d8f85c675398c0405005c31890.png\">矩阵,齐次方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbcc0cabafdb7e9eab6eb3b7c1d3083c1.png\">仅有零解的充要条件是【 】",{"answer":51,"createTime":5,"id":52,"options":53,"question":58,"source":30,"type":31},[],144340043,[54,55,56,57],"线性相关","线性无关","含有零向量","有两个向量相等","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4a64e4a93f506b9a0be5729cd7387dc3.png\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5fec55d3afca0775ec3f88202706a2cc.png\">个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3a04239722efc9c12225ecd25b9ca212.png\">维向量,且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fce49a19e9f86a5da86aad49fbcc7bba5.png\">, 则此向量组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4a64e4a93f506b9a0be5729cd7387dc3.png\">必定【 】",{"answer":60,"createTime":5,"id":61,"options":62,"question":67,"source":30,"type":31},[],144340044,[63,64,65,66],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的任意一个行(列)向量都是其余行(列)向量的线性组合","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的各行向量中至少有一个为零向量","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的行(列)向量组中必有一个行(列)向量是其余各行(列)向量的线性组合","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的行(列)向量组中必有两个行(列)向量对应元素成比例","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa1be902db3b2577725e1b19c37977d16.png\">阶矩阵,如果\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1b8ea1169a0831b24ef8092f161fd305.png\"> , 则 【 】",{"answer":69,"createTime":5,"id":6,"options":70,"question":19,"source":30,"type":31},[],[8,9,10,11],{"answer":72,"createTime":5,"id":73,"options":74,"question":79,"source":30,"type":31},[],144340046,[75,76,77,78],"如果\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F33daf899431b218434c86cfc52ab3cde.png\">线性无关,则加入\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F69ae27cdc4162ffd91a6adcaf18ed10d.png\">个向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4cf41092033fca20a133069f4515a98b.png\">后,仍然线性无关","如果\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F33daf899431b218434c86cfc52ab3cde.png\">线性无关,则在每个向量中增加\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F69ae27cdc4162ffd91a6adcaf18ed10d.png\">个分量后所得向量组仍然线性无关","如果\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F33daf899431b218434c86cfc52ab3cde.png\">线性相关,则加入\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F69ae27cdc4162ffd91a6adcaf18ed10d.png\">个向量后,仍然线性相关","如果\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F33daf899431b218434c86cfc52ab3cde.png\">线性相关,则在每个向量中去掉\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F69ae27cdc4162ffd91a6adcaf18ed10d.png\">个分量后所得向量组仍然线性相关","下列说法不正确的是【 】",{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":30,"type":31},[],144340047,[84,85,86,87],"任意\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个行向量均可构成极大无关组","必有\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个行向量线性无关","任意\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个行向量均线性无关","任一行向量均可由其他\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b8063ce4307a42d73f40513a3f6f4e2.png\">个行向量线性表示","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5fec55d3afca0775ec3f88202706a2cc.png\">阶方阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的秩\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9bbd385f3f30969f5c7946ee8165b1dd.png\">,则在\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5fec55d3afca0775ec3f88202706a2cc.png\">个行向量中【 】",{"answer":90,"createTime":5,"id":91,"options":92,"question":97,"source":30,"type":31},[],144340048,[93,94,95,96],"必有一行(列)元素为零","必有两行(列)成比例","必有一行向量是其余行(列)向量的线性组合","任一行向量是其余行(列)向量的线性组合","设方阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">的行列式\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F16f79c0cd6b6ca65859c14436923937e.png\">,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24e546db3c15bf8e0f0be3424361423e.png\">中 【 】",{"answer":99,"createTime":5,"id":100,"options":101,"question":106,"source":30,"type":31},[],144340049,[102,103,104,105],"每个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4690c185b8a9233346d5edf4d02cb8a9.png\">都能","每个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4690c185b8a9233346d5edf4d02cb8a9.png\">都不能","某一个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4690c185b8a9233346d5edf4d02cb8a9.png\">不能","有一个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4690c185b8a9233346d5edf4d02cb8a9.png\">能","设向量组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2eea837c8d5c5eeb94ed26951ef959d0.png\"> 线性相关,则【 】由\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F092721abe8d89023d3fecf2e4946a03e.png\">线性表出"]