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Math Help - Linear Algebra help

  1. #1
    Junior Member
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    Linear Algebra help

    Let V, W, and Z be vectors spaces, and let T: V --> W and U: W --> Z be linear.

    Prove that if UT is 1-1, then T is 1-1.

    b) does U have to be 1-1?
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  2. #2
    Senior Member JaneBennet's Avatar
    Joined
    Dec 2007
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    Part (a) is straightforward (use the definition of 11 function).

    Part (b): No, U only has to be 11 on the subspace T(W).
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