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作者 TWN2 在 PTT [ Math ] 看板的留言(推文), 共112則
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5F推:因為det(I-AB) = det(I-BA)對任意m*n矩陣A,n*m矩陣B12/29 00:28
6F推:成立 m=n時的證明:http://0rz.tw/k6Q7R 54頁12/29 00:31
7F→:m!=n時 假設m>n 考慮A'=[A|O],B'=[B^T|O]^T都是m*m12/29 00:33
8F→:矩陣 對A',B'作det(I-A'B') = det(I-B'A')就可以了12/29 00:34
3F→:a=1/101!吧12/11 21:25
3F→:ころす12/11 02:42
3F推:心算了一下 應該是9^3吧 多項式變形題11/27 15:01
5F→:f(x)=(2x-1)^3-(ax^3+b(x+1)^3+c(x+2)^3+d(x+3)^3)11/27 15:09
6F→:則f(x)=0有4根1,2,3,4=>f(x)恆為0=>f(-4)=0 end11/27 15:10
3F→:一定會循環啊 只是周期不一定很小而已11/27 13:15
2F→:你乾脆把題目弄成pdf檔之類的貼上來吧11/25 14:21
4F→:題目錯了11/25 16:15
1F推:(a)直接用定理秒殺 (b)利用|x|-|y|<=|x-y|<=|x|+|y|11/25 04:43
2F→:跟定義秒殺 然後你diagonally dominant寫錯 請見wiki11/25 04:45
3F推:不如你說你哪裡卡住好了11/25 08:36
6F→:(a)eigenvalue非0 (a_1)^T不重要 只是個vector11/25 10:09
8F→:你diagonally dominant當然永遠做不出來11/25 10:44
11F→:你去查一下wiki好嗎= = 不覺得你那行很怪嗎...11/25 11:07
2F推:去念一下Large deviations theory你就懂了11/22 16:58
2F推:對11/19 14:46
2F推:不是這樣做的 這題是典型的quadratic reciprocity題11/15 15:33
4F→:首先證明分子只會有8k+1or-1的質因數 然後證明分母必11/15 15:33
5F→:有8k+3or-3的質因數 end11/15 15:34