[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fYQxGLTm1SFJIUstwYoK2_R7ZHELqa4sd3k1mGf0fay4":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2026-01-01 07:22:33",245995277,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F07e3ced9ecb2a1ac01ffd3c44ffd0fd9.png\">其中\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd445b4123add1ba052cde20243b07dfe.png\">为任意常数","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0268ef5c2a54a81be9f0bd053e132ba9.png\">其中\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd445b4123add1ba052cde20243b07dfe.png\">为任意常数","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F111a81d3b68107db62db1e5206ec58a4.png\">其中\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd445b4123add1ba052cde20243b07dfe.png\">为任意常数","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F58dbc8b04028e8eade6cbd4684c9d348.png\">其中\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd445b4123add1ba052cde20243b07dfe.png\">为任意常数",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},17,"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","work_48643163","视听阅读作业1-Unit 1 Text B My Journey In Photographs","设四元非齐次线性方程组的系数矩阵的秩为3,已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9bbdf57aede85e3a472677ff04e0ef97.png\">是它的3个解向量,且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8e4e9ecb935e97c9a83a56b57e2c4ee3.png\">那么该方程的通解为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84d8239b247391367cf1177f287922c3.png\">",[21,32,41,50,59,68,77,80,89,98],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],245995271,[25,26,27,28],"只能进行初等行变换","允许进行某种初等列变换","既可进行初等行变换也可进行初等列变换","只允许进行某一种初等列变换","解方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3e7faa12b61fca2df0ef10cf154ae789.png\">时,对增广矩阵(\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff41d74b871b0ec296c21cc4658ec5dbe.png\">)施行的初等变换\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84d8239b247391367cf1177f287922c3.png\">","v1",0,{"answer":33,"createTime":5,"id":34,"options":35,"question":40,"source":30,"type":31},[],245995272,[36,37,38,39],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1b65a70d2d2b407ea2ce5caa063dac5b.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F06dd36f0e4aec109b350130a264d8ad9.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7c70e93233137b6e0fe6f290e4993688.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F89e71666d78f7b6b262ab910cd3e4d3f.png\">","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F343c4533a57827c06afb20cb3bb85ab9.png\">是非齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F096ac92b2b262969bf4218c29a5bbbd5.png\">的两个不同的解,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fca3d9ef6b27802f2b4ca42ba998db4ae.png\">是对应的齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7300862129af3ca9615da56c0366d47f.png\">的基础解系,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F721f4337e961a91c321a91dc475cf465.png\">为任意常数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F096ac92b2b262969bf4218c29a5bbbd5.png\">的通解可表示为( )",{"answer":42,"createTime":5,"id":43,"options":44,"question":49,"source":30,"type":31},[],245995273,[45,46,47,48],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84e661836b9915933e74a89ce8e7503b.png\">必有无穷多解","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcd4246daccae3825b4f6dda81d1661a5.png\">只有零解","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84e661836b9915933e74a89ce8e7503b.png\">一定无解","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcd4246daccae3825b4f6dda81d1661a5.png\">必有非零解","若线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F096ac92b2b262969bf4218c29a5bbbd5.png\">的系数矩阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fdb70bceda2ae822f161e81ecd10fba66.png\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb738d5f2052f64944ffb3ac2d61b0847.png\">矩阵,且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9a0a5dba0fd206e24f0e5e74b8312389.png\">,则( )",{"answer":51,"createTime":5,"id":52,"options":53,"question":58,"source":30,"type":31},[],245995274,[54,55,56,57],"2 个","1 个","3 个","4 个","已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fda604db6b122d274b53d624361ff919f.png\">是非齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F78865f0a7d5a85930d5265966337d345.png\">的两个不同的解,那么\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F16b50b0fe8412c8fa9947b807c0c834c.png\">中,仍是线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F78865f0a7d5a85930d5265966337d345.png\">特解的共有\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84d8239b247391367cf1177f287922c3.png\">",{"answer":60,"createTime":5,"id":61,"options":62,"question":67,"source":30,"type":31},[],245995275,[63,64,65,66],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0631d03f892229c6b8245cf9070086be.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa41382dd3d4a33408161d6fbd8bc9726.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd9392c360c39f30a023a918f051064b8.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc2f5262241dc6122cb0022b389d88dc4.png\">","方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2ba4894a09aa9a7d874e05c713e0512a.png\">的通解为( ),其中\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fba919b97d6283fcd7c530923c9dd3413.png\">为任意常数",{"answer":69,"createTime":5,"id":70,"options":71,"question":76,"source":30,"type":31},[],245995276,[72,73,74,75],"0","1","2","3","设矩阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F60afb1f94d77cbab67aab3de69b71356.png\">,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4332a4fadf18f2627ef495e1b635742c.png\">,且方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84e661836b9915933e74a89ce8e7503b.png\">无解,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F537acfcdd6926bd03b53d5f79908c200.png\">=( )",{"answer":78,"createTime":5,"id":6,"options":79,"question":19,"source":30,"type":31},[],[8,9,10,11],{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":30,"type":31},[],245995278,[84,85,86,87],"有无穷多解","只有零解","无解","有唯一解","方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F004878af783f8cae04ae855003647e3c.png\">的解的情况为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe34a7e88d36492282243e5e2058df76e.png\">",{"answer":90,"createTime":5,"id":91,"options":92,"question":97,"source":30,"type":31},[],245995279,[93,94,95,96],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F539e78328e15b68d1cbb2da1aafca1b9.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8835d4ab579c3b89882921662dc7073c.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe78f5110113e7333361bc375e85077fc.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6c9bce5214a911ff94e246c9459644fd.png\">","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb25b5bfa350669a6c4ba89b88cd2028c.png\">为 4 维列向量组, 且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5dfccdda04e3076fce1ce2b92dcff521.png\">.已知线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9574328db3f3edf3edfeab6e49877ce7.png\">的通解为 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2afbfbc4af716625a717b9c93a2e5599.png\">则向量组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb25b5bfa350669a6c4ba89b88cd2028c.png\">的一个极大线性无关组为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F84d8239b247391367cf1177f287922c3.png\">",{"answer":99,"createTime":5,"id":100,"options":101,"question":106,"source":30,"type":31},[],245995280,[102,103,104,105],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F109e1d5be48921e8cd9762c0c0a13730.png\">","以上都不对","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe6c5177ce757261e55c09f0e030a09f6.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9c57ce0e1ca518a961ed3bf734ca0178.png\">只有零解","线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9ae497038692bf1793992d8a6b266c77.png\">有唯一解的条件是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6a24482edc14b3b810df4e6b1b19acaa.png\">"]