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Compute the required norm in each of the following inner product spaces. (a) Let f(t) = cost for all t E [0, 27]. Compute | | fl|2 in the inner product space ( [0, 27] ) of continuous real-valued functions on [0, 27r], with the L2-inner product (f,g) = 27 JO f(t)g(t)dt (You may find the double angle formula cos(2t) = 2 cost - 1 useful.) (b) Let A = 12, 21. Use the Frobenius inner product on M2(C) to compute | | A| | . Recall that (B, C) = tr C A), where C denotes the conjugate transpose of C