Let V be the subspace of F([0,1],R) generated by the functions f1, f2, f3 given by:(adsbygoogle = window.adsbygoogle || []).push({});

f1(x)=1/(x+1) , f2 (x) = 2-x and f3(x) = x^2

for all x element of [0,1]. Find a basis of the subspace U of V that consists of all the functions g of V such that g(0) = g(1).

------------------------------------

Ok now the very first question I have is what on earth is g? We have three functions (f1, f2, and f3) so where did this g come from? Secondly, how do I start this question? I've looked in my textbook and lecture notes but there aren't any examples like this one. We only have the really simple vector subspace examples and they didn't really help much. Any suggestions would be greatly appreciated. Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Vector Subspace Question

**Physics Forums | Science Articles, Homework Help, Discussion**