[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fIdhqTHkT_xH1Ka_QRO21jV5XK3-7X0jpQe61vzsbYLM":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":28,"type":29},[],"2023-11-13 19:38:46",105575320,[8,9,10,11],"非零特征向量的特征值也是非零的","属于一个特征值的特征向量只能有一个","一个特征向量只能属于一个特征值","n阶可逆矩阵有n个不同的特征值",{"courseId":13,"courseImg":14,"courseName":15},"addd09ca2f6e5e86abb3add53a3b3c19","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F618f9a494aa98b655190f40a5b00d3ff.png","线性代数2023年秋季","下列说法正确的有",[18,30,39,48,57,66,75,84,87,96],{"answer":19,"createTime":20,"id":21,"options":22,"question":27,"source":28,"type":29},[],"2023-11-13 19:38:45",105575313,[23,24,25,26],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9950dc38643018a0b3890417b9fd3cd0.png\">","秩( \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">)=秩( \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F13b09077e2d89f614209c196966d107b.png\">)","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F13b09077e2d89f614209c196966d107b.png\">有相同的特征多项式","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3c92995df84e0948e58ffa30c5590175.png\">阶矩阵 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F13b09077e2d89f614209c196966d107b.png\">有相同的特征值,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3c92995df84e0948e58ffa30c5590175.png\">个特征值各不相同","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">相似于\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F13b09077e2d89f614209c196966d107b.png\">的充分条件是","v1",0,{"answer":31,"createTime":5,"id":32,"options":33,"question":38,"source":28,"type":29},[],105575314,[34,35,36,37],"0","1","6","36","已知三阶矩阵A的特征值为1,2,3,则行列式\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Faf315ff34ceb72e90cd6c58818d550ed.png\">",{"answer":40,"createTime":5,"id":41,"options":42,"question":47,"source":28,"type":29},[],105575315,[43,44,45,46],"全是零","全不是零","至少有一个是零","可以是任意数","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3c92995df84e0948e58ffa30c5590175.png\">阶矩阵,若\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3663e385465b2955f3514fd0c59b42ca.png\">,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">的特征值",{"answer":49,"createTime":5,"id":50,"options":51,"question":56,"source":28,"type":29},[],105575316,[52,53,54,55],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0cd0284fd4e3004669b75cd611a0def8.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F81fa9eea45ddb8999080cf310748c61f.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Feb4f23c6620be63edff034b5e2d01d16.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F570aea27e0718f3a4a8d129aea80e1c7.png\">","已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbc3cea95bc2f44014925fb0951299f83.png\">为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F660e847f6399a552faa2424a0d1e5343.png\">阶可逆矩阵,那么与\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbc3cea95bc2f44014925fb0951299f83.png\">有相同特征值的矩阵是",{"answer":58,"createTime":5,"id":59,"options":60,"question":65,"source":28,"type":29},[],105575317,[61,62,63,64],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc50d0690100dbe7da8d328485c6763ff.png\">也是 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8e55491c3f93d10d4b2bb4658806d94a.png\">的特征向量","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc50d0690100dbe7da8d328485c6763ff.png\">是 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">的全部特征向量","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc50d0690100dbe7da8d328485c6763ff.png\">( \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F511a1a7a95c5a80969d378071ed09051.png\">不全为零)是 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">的全部特征向量","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc50d0690100dbe7da8d328485c6763ff.png\">( \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F511a1a7a95c5a80969d378071ed09051.png\">均不为零)是 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">的全部特征向量","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F620050585c162700d9ad70b32c1b8149.png\">分别是2阶方阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F777001e824cc769973342b8712a27636.png\">的属于不同特征值\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F969903ebd373f25a5936b1104cc7d376.png\">的特征向量,则下列结论正确的是",{"answer":67,"createTime":5,"id":68,"options":69,"question":74,"source":28,"type":29},[],105575318,[70,71,72,73],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F334021684324050e25acb5be2c7cb02c.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd99a0ad89be6cc29c781bc18e7382d85.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F99ec98699065e513938bb36143a51f1f.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2b850357d5060439e1130d5f720fcf58.png\">","已知3阶矩阵的3个特征值是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F845776f225e1e2efb31966375827f157.png\">,则下列矩阵中是可逆矩阵的是",{"answer":76,"createTime":5,"id":77,"options":78,"question":83,"source":28,"type":29},[],105575319,[79,80,81,82],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe413222b276bdaaf3d7aea90177c9dda.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F95b902326ac3ed6fef555cf9ea461b74.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F54a4a8cfe4c4dec01e8df0028261abf2.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F34051f118e2d67bc647bb9b3c151acac.png\">","已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd058a47a9687658a08af00a3f66baa66.png\">是方程\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F119d5558ffd70fd58d4956d1a40fe036.png\">的两个不同的解向量,则下列向量中,必是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8e55491c3f93d10d4b2bb4658806d94a.png\">的对应于特征值\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F24b944ae9ea7407934ac4f712a52ac9e.png\">的特征向量是",{"answer":85,"createTime":5,"id":6,"options":86,"question":16,"source":28,"type":29},[],[8,9,10,11],{"answer":88,"createTime":5,"id":89,"options":90,"question":95,"source":28,"type":29},[],105575321,[91,92,93,94],"9\u002F2","-9\u002F2","9\u002F8","-9\u002F8","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F945763c82dcedcd2dcac9f7588778cd4.gif\">是三阶矩阵,且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9ea36ec7c496f5b5ef73d195d4bcb821.gif\">均不可逆,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6b2fd3475afd4025bc1698f72578a797.gif\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F945763c82dcedcd2dcac9f7588778cd4.gif\">的伴随矩阵,则行列式\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F098d0fcb95adb828c206b30a541993f5.gif\">( )",{"answer":97,"createTime":5,"id":98,"options":99,"question":104,"source":28,"type":29},[],105575326,[100,101,102,103],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F10a26b2038faaec25523361c4d8aeb58.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb3c4f63357e908f2e311babe4e7a0042.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb750f59ddd4303693e38050a020c4863.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F01597882f3a0d9532edd8963ace04591.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2993950dce11fcbc262b345372744926.png\">"]