[線代] 證明是否是子空間

看板Math作者 (我很單純)時間13年前 (2011/02/09 17:07), 編輯推噓2(2推 0噓 4→)
留言6則, 4人參與, 最新討論串1/3 (看更多)
Let V be the real vector space of all function f from R to R prove or disprove following sets of functions are subspace of V 1. all f such that f(x^2)=f(x)^2 2. all f such that f(0)=1 3. all f such that f(0)=1+f(1) 4. all f which are continues -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.170.240.148
推
02/09 17:12, , 1F
加法和乘法封閉性？
02/09 17:12, 1F
→
02/09 17:15, , 2F
ok，我懂這兩個東西可是怎麼證明？
02/09 17:15, 2F
推
02/09 17:34, , 3F
f[(x+y)^2]≠f(x)^2+f(y)^2
02/09 17:34, 3F
→
02/09 17:37, , 4F
有點搞混了...有大大可以證證看這四個嘛...
02/09 17:37, 4F
→
02/09 18:01, , 5F
有大大會證嗎？這四個
02/09 18:01, 5F
→
02/09 19:05, , 6F
別被符號搞混了...集合內的元素和其定義先弄清楚
02/09 19:05, 6F
‣ 更多 dondonmike 的文章
文章代碼(AID): #1DKbbPJ2 (Math)
‣ 更多 dondonmike 的文章
文章代碼(AID): #1DKbbPJ2 (Math)