Let 3 and y denote the standard bases in the vector spaces M2x2(F) and P3 (F) respectively: 0 0 B = · ( ( )· ( ) ( ) ( :) ). 1 y = (1, x, x², x³). Find the matrices [T] and [U] for the operators defined as follows: (918). (a) For A € M2x2(F), T(A) = AB - BA, where B = (b) For p(x) = P3 (F), U(p(x)) = p(2) x³ – 2p'(x).

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