20-21高二·全国·课后作业
解题方法
1 . 三行三列的方阵有9个数aij(i=1,2,3,j=1,2,3),从中任取三个数,已知取到a22的条件下,求至少有两个数位于同行或同列的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d537d58c1657629b053368830666779.png)
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2 . 关于矩阵乘法下列说法中正确的是( ).
A.不满足交换律,但满足消去律 | B.不满足交换律和消去律 |
C.满足交换律不满足消去律 | D.满足交换律和消去律 |
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3 . 已知
是
阶矩阵,
,则下列结论中错误的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777d8fccf0cf8b55a68488fe48b78744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 已知
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c32370e382cc5b9bb596fa87cdf1537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51514af8dde7da77800f8348a7ea542.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 下面给出矩阵的一些性质中正确的是( ).
A.![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() | D.![]() |
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6 . 已知
,
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3a1792c8a27289dcabe21bdee2b92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5e7c5ff57bd768667cf19834ab0682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62d712f7ded863e7695e0133e15a15c.png)
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7 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccd6be8329b1156d8d68669a1016580.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccd6be8329b1156d8d68669a1016580.png)
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8 . 有这样一对矩阵
,
,通过计算发现
与
相等,即满足“
”.
请举出一对满足“
”要求的二阶矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d947e6a650c700ed1fab01b4b10fa6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3722bda479c3d9229b99dc4f1c8fec71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93a42a8537d582e74cfac36d1d5f12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc166a17c8ce4b34134d13ac03f2005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9bee7a3e6a2c01e3196fd1dbe40cb4.png)
请举出一对满足“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9bee7a3e6a2c01e3196fd1dbe40cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd82ec347d41082b344beb6dba4c6d2.png)
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9 . 已知矩阵
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a375ca77464edc49e7e1473eeb6c1b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68b43ce6a3774527e6cf5a86d49168f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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10 . 已知矩阵
,
,
,求:
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64275b96308af4f4539f669e95bdd496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec8aeb232f6f7112ffd618e01e535d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5855dc40a700ffab32e6a976c7a5c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f217f0146f6586844f73653849dd489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f65a03ad0f9172f992f42ae3bbb465e.png)
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