Originally Posted by

**MuhTheKuh** If V and W are two vector spaces over the same field K, and T : V→W is a linear mapping, how do I prove that the image of the set T, given by

Im(T) = (w [IMG]file:///C:/Users/Tristan/AppData/Local/Temp/moz-screenshot-1.png[/IMG]belongs to [IMG]file:///C:/Users/Tristan/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Tristan/AppData/Local/Temp/moz-screenshot.png[/IMG] W : there exists v belongs to[IMG]file:///C:/Users/Tristan/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG] V such that T(v)= w),

Is a subspace of W

Thank your for your time