作者dondonmike (我很单纯)
看板Math
标题[线代] 证明是否是子空间
时间Wed Feb 9 17:07:34 2011
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
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1F：推 vity :加法和乘法封闭性？ 02/09 17:12
2F：→ dondonmike :ok，我懂这两个东西可是怎麽证明？ 02/09 17:15
3F：推 LoveBeef5566:f[(x+y)^2]≠f(x)^2+f(y)^2 02/09 17:34
4F：→ dondonmike :有点搞混了...有大大可以证证看这四个嘛... 02/09 17:37
5F：→ dondonmike :有大大会证吗？这四个 02/09 18:01
6F：→ ert0700 :别被符号搞混了...集合内的元素和其定义先弄清楚 02/09 19:05