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Homework Help: Matrix transformation problem

  1. Oct 1, 2006 #1
    please help
    find all x in R4 that are mapped into teh zero vector by A
    A =
    1 3 9 2
    1 0 -4 3
    0 1 2 3
    -2 3 0 5

    i think the problem wants me to find x where x times A = 0

    so i did this augmented matrix
    A=
    1 3 9 2 0
    1 0 -4 3 0
    0 1 2 3 0
    -2 3 0 5 0

    then, after row reduction and stuff, i got this

    1 0 3 0 0
    0 1 2 0 0
    0 0 0 1 0
    0 0 0 1 0

    all i know is x4 = 0... it doesn't seem to give anything about x1 x2 and x3... are their values arbitrary or am I wrong?

    thank you.
     
  2. jcsd
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