1 . 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)
您最近一年使用:0次
2 . 定义矩阵的方幂:设A是一个
矩阵,定义
,若
.
(1)计算
;
(2)猜想
的结论,并用数学归纳法证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767f5a4746f04db68386fac3970b1ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4ee8a7dc275fbcd136238df59fbe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd604a38b142c8cf787f936b7a3fc09c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55d6fcb58601195db867167dfa9dd96.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b8e1183883949250b0422e8631bc7c.png)
(2)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01dc0aa9f1ce1e3b8fa11d8b601cd40.png)
您最近一年使用:0次
3 . 用数学归纳法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d3e784f611dd6fd6cec28c6378cea5.png)
您最近一年使用:0次