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Let T PR2 be the linear transformation given by T(p): p(t) = at + bt + c, then T (p) = (a) Find two

$Let ( T: mathbb{P}_{2} ightarrow mathbb{R}^{2} ) be the linear transformation given by ( T(p)=left[begin{array}{l}p($

Let T PR2 be the linear transformation given by T(p): p(t) = at + bt + c, then T (p) = (a) Find two polynomials in P2 which span the kernel of T. (b) Describe the range of T. = p(0) p(0) For example, if

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