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Linear Transformation

  1. Apr 11, 2010 #1
    1. The problem statement, all variables and given/known data

    Linearly speaking the Kernel of T is a ?


    2. Relevant equations

    I solved kernel of T to equal {<-5,3,1>}

    3. The attempt at a solution

    So is Kernel of T is a plane?
     
  2. jcsd
  3. Apr 11, 2010 #2
    What is the exact question? The kernel of a transformation is a subspace.
     
  4. Apr 11, 2010 #3

    vela

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    You need to provide way more information. I have no idea what you're asking, what you did, what you mean, etc.
     
  5. Apr 11, 2010 #4
    T(x,y,z) = (x+2y -z,2x+3y+z,4x+7y-z)
    so Kernel T = (-5, 3, 1)

    So geometrically speaking the kernel of T is a _______________?
     
  6. Apr 11, 2010 #5

    vela

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    That's not the kernel of T. How did you solve for the kernel?
     
  7. Apr 11, 2010 #6

    Mark44

    Staff: Mentor

    <-5, 3, 1> is not the kernel, but it spans the kernel. What does this mean in terms of other vectors in the kernel?
     
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