Question: (a) Let T : P2 - P2 be the linear transformation with standard matrix [T] (i) Calculate T(x - 2x2). (ii) Find a basis for

(a) Let T : P2 - P2 be the linear transformation with standard matrix [T] (i) Calculate T(x - 2x2). (ii) Find a basis for the image of T. (iii) Is T invertible? Give a reason. (b) Let R : R3 - R2 be specified by R(x, y, z) = (x, y). (i) Determine the image and kernel of R. (ii) Is R surjective (i.e. onto)? Give a reason

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