1 . 若线性方程组
的增广矩阵为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bd6cdc598a67059dc4293a1694dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6eeca71235856e3c8a3616c79f6138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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2 . 关于
、
的二元一次方程组
,
无解,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cbb11b8e59d7f83f2f085de27bf41a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc8ef902dc3481ae24d888f57466154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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2020-02-29更新
|
100次组卷
|
3卷引用:上海市交通大学附属中学嘉定分校2019-2020学年高二上学期10月月考数学试题
上海市交通大学附属中学嘉定分校2019-2020学年高二上学期10月月考数学试题上海市建平中学2019届高三上学期10月月考数学试题(已下线)课时28 矩阵的概念及运算-2022年高考数学一轮复习小题多维练(上海专用)
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3 . 已知一个关于
的二元一次方程组的增广矩阵为
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8002d291ce133b2c804674877123491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8c493c1d99425bf5bf35d5f7813207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3375d59253a775afbbf37a7ff1131c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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19-20高二上·上海浦东新·阶段练习
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4 . 若增广矩阵
的线性方程组无解,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935ae36f1bff88fc927474dfcf004709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
5 . 已知关于
、
的二元一次方程组
.(*)
(1)记方程组(*)的系数矩阵为
,且矩阵
,若
,求实数
、
的值.
(2)若方程组(*)无解或者有无穷多解,求三阶行列式
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48a854ef96dc56dce39f07e41962eb6.png)
(1)记方程组(*)的系数矩阵为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/359f26314c501f2c4d7abfc3056075f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e68977ecf608f29ac50d62ae4409cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若方程组(*)无解或者有无穷多解,求三阶行列式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e4d512248aedb90f387b365f12661a.png)
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6 . 关于
、
的方程组
的增广矩阵为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42768ee0dcd79862b083c5606096216.png)
您最近一年使用:0次
2020-02-28更新
|
117次组卷
|
3卷引用:上海市东昌中学2019-2020学年高二上学期期末数学试题
7 . 方程组
的增广矩阵为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5bdd63f5b0c41d5152e8c8aad7e5b3.png)
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14-15高二上·上海徐汇·期中
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8 . 已知矩阵
,
,
,
,若PQMN.
(1) 写出PQMN所表示的关于x、y的二元一次方程组;
(2) 用行列式解上述二元一次方程组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f56c901d052f8009e4e1e83896d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff38224c367aa75686cf46e6c7292b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d756825f18f58133b0883db98c75df2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5807b07695c82675d08ff36c2fcd63e.png)
(1) 写出PQMN所表示的关于x、y的二元一次方程组;
(2) 用行列式解上述二元一次方程组.
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9 . 关于
的方程组
的系数矩阵记为
,且该方程组存在非零解,若存在三阶矩阵
,使得
,(0表示零矩阵,即所有元素均为0的矩阵;矩阵
对应的行列式为
),则
(1)
一定为1;
(2)
一定为0;
(3)该方程组一定有无穷多解.
其中正确说法的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726b31b9e4f085fb2754723f21405d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d52399e72456de84f0a42dd69da06fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93499d2c5181db3ef5db16b64c2a4911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8f054b30b493c4ce1deecff3468c08.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8f054b30b493c4ce1deecff3468c08.png)
(3)该方程组一定有无穷多解.
其中正确说法的个数是( )
A.0 | B.1 | C.2 | D.3 |
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10 . 已知关于
的方程组
.
(1)求
;
(2)当实数
为何值时方程组无解;
(3)当实数
为何值时,方程组有解,并求出方程的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d134ea2b014c368d45f332ec20b6b0d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f102776f17cf1cad74022655f2a1329.png)
(2)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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