1 . 在
行
列矩阵
中,记位于第
行第
列的数为
,当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77060f356e341b1310443cac9c95766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e616c9670cf934a39a18c109e63a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294250dbd576bff3da0a1456cb9a88a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b082ac7abc6ec57de9ee775c0a1f2be.png)
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2019-11-10更新
|
60次组卷
|
2卷引用:沪教版 高二年级第一学期 领航者 第九章 9.2矩阵的运算(1)
2 . 矩阵
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b56181fd53e8bb9b94853b0d71ad40.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af87867f1de9d1a56a8c39edffcef05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac62d6940800184a6426aacfcb10c297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b56181fd53e8bb9b94853b0d71ad40.png)
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3 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfd8e7abcb82dceac14a8099a013d5d.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfd8e7abcb82dceac14a8099a013d5d.png)
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4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eecfcd5a2e87f48092b49384697c4b1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eecfcd5a2e87f48092b49384697c4b1.png)
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5 . (1)试探求方程组
有唯一解的充要条件.
(2)由9个正数组成的矩阵
中,每行中的三个数成等差数列,且
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e65f7c16622ec34b1276eb265a6e9bb.png)
、
成等比数列,下列四个判断中,正确的有________ 个.
①第2列
、
、
必成等比数列;②第1列
、
、
不一定成等比数列;③
;④若9个数之和等于9,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ea505f38e24ecc9191265fabea46aa.png)
(2)由9个正数组成的矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d537d58c1657629b053368830666779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb9d1aa1cc02e6fe13141ecf5f2549b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e65f7c16622ec34b1276eb265a6e9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee1dc1b0ea35ee824e9e647f46987b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699f39dd97b907f10708e0dc75076f8a.png)
①第2列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e11a5b70e1e2e685d1783a4707872e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498d357985304a737e7a01272ebbcf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc29ee719feeedfbc8c529cf11348abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a555e932cee7a505419ca454e4d1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b829cb8d1278c92e5976b0ab4716bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56952d18c393108434a65bc835cd7621.png)
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6 . 矩阵
是单位矩阵,则矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6872c973e864e22ba2f14fdbc0c77c2.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da546775d24ce50d3af260a7e93662c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6872c973e864e22ba2f14fdbc0c77c2.png)
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7 . 在用矩阵变换解方程组时,方程组的增广矩阵被变换成
,则该方程组的解的情况是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e9aa65aa5bc9663b8506517f98b330.png)
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8 . 方程组
的系数矩阵是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e4cfec82d6889ab27ba5dae94698a3.png)
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9 . 试写一个系数矩阵为单位矩阵,解为
的线性方程组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb01947ac3fa8cf3d82802a98a76ecb2.png)
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10 . 方程组
的增广矩阵是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6020c5cc6bfaa3dddb92b508807154d4.png)
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