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Math Help - matrix of a linear transformation

  1. #1
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    matrix of a linear transformation

    Find the matrix of this linear transformation T with respect to the given basis.

    T(f(t)) = f(3) from P2 to P2, with respect to the basis B = (1, t-3, (t-3)^2).

    My answer (with ; denoting a new row) is [1 0 0 ; 0 0 0 ; 0 0 0]. Is this right?
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  2. #2
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    Quote Originally Posted by noles2188 View Post
    Find the matrix of this linear transformation T with respect to the given basis.

    T(f(t)) = f(3) from P2 to P2, with respect to the basis B = (1, t-3, (t-3)^2).

    My answer (with ; denoting a new row) is [1 0 0 ; 0 0 0 ; 0 0 0]. Is this right?
    Not sure I understand this correctly - but T(f(t)) = f(3) doesn't appear to be a linear transformation. For e.g. what is T(0)?

    I am be wrong here please - but would you mind checking?
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  3. #3
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    Quote Originally Posted by aman_cc View Post
    Not sure I understand this correctly - but T(f(t)) = f(3) doesn't appear to be a linear transformation. For e.g. what is T(0)?

    I am be wrong here please - but would you mind checking?
    Your answer looks correct to me. Please ignore the post above
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