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?
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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
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?)
Thanks for replying! So I just check that T maps 0 to 0... And that is the only vector u that makes T a linear map?