Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted