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Math Help - Linear Transformations

  1. #1
    Ife
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    Linear Transformations

    Hi, this topic is very scant in my text and notes. I have been given this question. I am not sure where to start (or continue, for that matter). Can I have some assistance please??

    Define a linear transformation T: P_2 \rightarrow R^2 by T(p) = \left[ \begin{array}{cc}P(0)\\P(0) \end{array} \right]. Find polynomials p_1 and p_2 in P_2 that span the kernel of T, and describe the range of T.
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  2. #2
    Senior Member Shanks's Avatar
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    (0)=0\}" alt="kerT=\{p \in P_2:T(p)=0\}=\{p \in P_2(0)=0\}" />
    now can you find the generator of the kernal of T?
    the range of T is the subspace of R^2 generated by (1,1).
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