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Homework Help: Need help finding the preimage

  1. Nov 8, 2014 #1
    • Moved from a technical math section, so missing homework template
    Consider the linear transformation T: R3 --> R3 /w T(v1,v2,v3)=(0, v1+v2, v2+v3)

    What is the preimage of w=(0,2,5) ?

    I tried setting up the system of equations and got v1+v2= 2 and v2+v3=5 but after that I got kinda lost in how to find the individual solutions?
  2. jcsd
  3. Nov 8, 2014 #2


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    Homework Helper

    I think all you can really solve for sure is the interval between v1 and v3, I would put them in terms of v2.
    You should end up with a description of the space that translates into (0,2,5).
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