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Math Help - Linear Map and translation

  1. #1
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    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?
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  2. #2
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    Quote Originally Posted by limddavid View Post
    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
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  3. #3
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    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?)
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  4. #4
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    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?
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