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# System prepended metadata

title: 孟書 我拜託你了

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## 2.3: 1 3 9 11 13 15 17 19 23 25 27 29 

![image](https://hackmd.io/_uploads/HJFJaulX0.png)
兩個列出來相乘然後答案對回x1 x2

![image](https://hackmd.io/_uploads/BkdSJtx70.png)
![image](https://hackmd.io/_uploads/HyfLyKe7C.png)
TFTTTFTTFT


## 3.1: 3 5 7 9 12 15 18 19 
![圖片](https://hackmd.io/_uploads/rkeEij1mC.png)

![image](https://hackmd.io/_uploads/HknFXYxQ0.png)
![image](https://hackmd.io/_uploads/Bk_5XFlmA.png)
![image](https://hackmd.io/_uploads/Sy7iQKx7A.png)

![圖片](https://hackmd.io/_uploads/HkUAkF17C.png)
## 3.2: 11 12 13 21 22 23 25 27 28 29 30 32
![image](https://hackmd.io/_uploads/HkeewFe7A.png)
TFTTTFFFTT

![image](https://hackmd.io/_uploads/BJrbtYg7A.png)
![image](https://hackmd.io/_uploads/By8gKYxm0.png)

![image](https://hackmd.io/_uploads/HJ2g5temR.png)
![image](https://hackmd.io/_uploads/H1blqFeQA.png)

## 3.3: 3 5 9 10 11 12 16 21 22 

看到什麼relative to 就是兩邊擺好開始列運算
![圖片](https://hackmd.io/_uploads/Sk23cRy7R.png)

![image](https://hackmd.io/_uploads/rkR6sYxXA.png)
![image](https://hackmd.io/_uploads/SJIpoFx7C.png)

![image](https://hackmd.io/_uploads/H1fqTKlm0.png)
![image](https://hackmd.io/_uploads/ByyjpYx7C.png)

## 3.4: 7 16 17 19 21 23 26 27 33 34
![image](https://hackmd.io/_uploads/BktTRFgm0.png)
照著乘進去

![image](https://hackmd.io/_uploads/SyHRkqlmA.png)
![image](https://hackmd.io/_uploads/HJe1ecgQC.png)

- one to one invertible
- dx sin(x)cos(x) = -sin^2(x) + cos^2(x) sin^2(x) = 2sin(x)cos(x) cos^2(x) = -2sin(x)cos(x)
- cos2x=2cos^2(x)-1=2(1-sin^2(x))-1
## 4.1 10 12 17 19 23 31 39 49 51 
![image](https://hackmd.io/_uploads/ryxutLeX0.png)
外積算長度
![image](https://hackmd.io/_uploads/BkKTF8gXC.png)
算AB AC 然後外積算長度
![image](https://hackmd.io/_uploads/SkhtqIl70.png)

![image](https://hackmd.io/_uploads/rkcm79e7A.png)
拿隨便一個點當原點 找隨便兩個點坐向量然後積

![image](https://hackmd.io/_uploads/S1Khl5e7C.png)
FTTFFTFTTF
## 4.2 5 7 9 17 21 29 30 31 32 
做高階行列式 列運算降階 列交換需要加負號 列加減值不變 展開時看位置ij相加 **奇數加負號**
singular代表不可逆 det=0



![image](https://hackmd.io/_uploads/rJ54H5lmR.png)
FTTFTTFTFT

![IMG_2467](https://hackmd.io/_uploads/HyHSI9xQ0.jpg)

![IMG_2465](https://hackmd.io/_uploads/BJIeIqxX0.jpg)

![IMG_2468](https://hackmd.io/_uploads/ByzD8qeQA.jpg)

![IMG_2466](https://hackmd.io/_uploads/SkkVU5gm0.jpg)

 ## 4.3 3 5 7 17 21 23 31 33 35 

![image](https://hackmd.io/_uploads/H1baLqx70.png)
FTTFTTFTTF

![image](https://hackmd.io/_uploads/Syl1v9gQA.png)

![image](https://hackmd.io/_uploads/rJzlv9xX0.png)
