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Math Help - Matrix Representation

  1. #1
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    Matrix Representation

    Find a matrix representation for the "even part" linear transformation P: R<=3[x] --> R <=3[x]

    Note: R<=3[x] is the set of all polynomials with degree 3 or less

    given by (Pf)(x) = [ f(x) + f(-x) ] / 2,

    with respect to the basis {x^3, x^2, x^1, x}. Use this to give a formula for P(ax^3 + bx^2 + cx + d).
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  2. #2
    Senior Member jakncoke's Avatar
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    Re: Matrix Representation

    \begin{bmatrix}0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix}
    P(...) = bx^2 + d
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