Let T : Rn → Rm be a linear map, and let L be a line in Rn. Show that T(L) is also...

[Niamh]

Let T : Rn → Rm be a linear map, and let L be a line in Rn. Show that T(L) is also...

Hello,

I got this question and I have no idea where to begin:

Let T : Rn → Rm be a linear map, and let L be a line in Rn. Show that T(L) is also a line.

Any help would be appreciated

 

[Niamh]

Question from your teacher?

Yes