# Math Help - Linear Map and translation

1. ## Linear Map and translation

Hi. Quick question:

6. Let T_u: V --> V be the translation by a vector u. For which vectors u is T_u a linear map?

2. Originally Posted by limddavid
Hi. Quick question:

6. Let T_u: V --> V be the translation by a vector u. For which vectors u is T_u a linear map?

A linear map has to map the zero vector to the zero vector, so...

Tonio

3. What must be true in order that a function be a linear map? In other words, what must you check?

(Here's a short cut- what must any linear map do to the 0 vector?)