W={(x,y): y=ax, a is an integer}, V=R^(2) It is not a subspace of V, but I can't find an example, where this is not valid. Please, help. Thank you.
Follow Math Help Forum on Facebook and Google+
Originally Posted by Jav W={(x,y): y=ax, a is an integer}, V=R^(2) It is not a subspace of V, but I can't find an example, where this is not valid. Please, help. Thank you. $\displaystyle (1,2) \in W, (1,3)\in W$. But does $\displaystyle \frac12(1,2)+\frac12(1,3)$?
Thank you very much for your prompt response. I forgot that cu + cv has to be in W as well. Thank you again.
View Tag Cloud