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Homework Help: Linear operator matrix - is this right?

  1. Nov 18, 2008 #1
    can someone check if I'm doing this correctly?

    I have to find the standard matrix for the linear operator T defined by the formula.

    For example,

    T(x1,x2,x3) = (x1 + 2x2 + x3, x1+ 5x2, x3)

    Is the matrix I want just simply,

    T =
    1 2 1
    1 5 0
    0 0 1

    I'm basing this on an example in my text, thanks in advance!
  2. jcsd
  3. Nov 18, 2008 #2


    Staff: Mentor

    Try it and see. Multiply A(x1, x2, x3)^t and see if you get (x1 + 2x2 + x3, x1 + 5x2, x3)^t.

    BTW, you might notice that I renamed your matrix as A. The matrix of a transformation is different from the tranformation itself, so you shouldn't have the same name for both.
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