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Homework Help: Linear Maps

  1. Sep 26, 2006 #1
    for #2

    i have the matrix:
    1 1
    1 0
    1 0
    1 0
    0 0
    0 0
    0 0

    my reasoning is that when we extended the basis of U to the basis of V, we added 3 vectors (v1,v2,v3) and in order to have T(u)=T'(u), we need to send (v1,v2,v3) to zero.

    however the injective part i'm not sure about. i dont know if the null space is {0}. and the surjectivity i'm not too sure about either. and in general, i'm not sure what conditions on U,V,W,T would garner T' to be injective or surjective.

    for #5:
    i'm not surewhat the e* elements are exactly. so i'm really lost on this one.
     

    Attached Files:

  2. jcsd
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