2. (10pt) Let Pn denote the vector space of real polynomials of degree less or equal to n, and of the form p(x) = po + p
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2. (10pt) Let Pn denote the vector space of real polynomials of degree less or equal to n, and of the form p(x) = po + p
2. (10pt) Let Pn denote the vector space of real polynomials of degree less or equal to n, and of the form p(x) = po + pix + ... + Pnx". Define linear transformation L: P3 + P3 by p(t) 9(t) = (po + pı) + (po – pı)x. = (a) Obtain a matrix representation of L. (b) Determine the range and null space of L.
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