Find the Fourier coefficient c and the projection cw of v along w for each of the following. (а) у — (1, 3, 1, 2) and w = (1, –2, 7, 4) in R4. (b) v = t² and w =t+ 3 in P(t), with inner product (f(t), g(t)) = So f(t)g(t) dt. 1 (c) v = 1 and w = 1 in M2,2(R), inner product defined by (A, B) = tr(B" A). 3 4 5 5

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A: Dear student as per our guidelines we can solve only first 3 questions. So kindly resubmit remaining…

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