[p(1) 5. Let T: P2 - R? be the linear transformation defined by T(p) = : a) Calculate T(p), where (t) = t2 – 3t + 7. b) Find a polynomial q which spans the kernel of T.

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5. Let T: P, → R? be the linear transformation defined by T(p) =
[p(1)*
\p'(2).
a)
Calculate T(p), where (t) = t² – 3t + 7.
b)
Find a polynomial q which spans the kernel of T.
Transcribed Image Text:5. Let T: P, → R? be the linear transformation defined by T(p) = [p(1)* \p'(2). a) Calculate T(p), where (t) = t² – 3t + 7. b) Find a polynomial q which spans the kernel of T.
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