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Math Help - Finding a matrix help needed

  1. #1
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    Finding a matrix help needed

    Let t be a linear transformation.


    t:P_3 R^3
    a + bx + cx^2 (a + c, b, a + b + c).




    Find the matrix of s.

    The basis of the domain is E = {1, x, x^2}
    The basis of the codomain is F = {(1,0,0),(0,1,0),(0,0,1)}

    So here is my take on it

    S(1,x,x^2) = (a + c, b, a + b + c)

    so

    s(1) = (1,0,1)
    s(x) = (0,1,1)
    s(x^2) = (1,0,1)

    which gives the matrix below

    1 0 1
    0 1 0
    1 1 1

    is that correct the correct method/answer of doing this?
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  2. #2
    Senior Member jakncoke's Avatar
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    Re: Finding a matrix help needed

    yes
    Thanks from marky82
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  3. #3
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    Re: Finding a matrix help needed

    thanks ~
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