Find the Fourier coefficient c and the projection cw of v along w for each of the following. : (1, –2, 7,4) in Rª. t² and w =t+3 in P(t), with inner product (f(t), g(t)) = So f(t)g(t) dt. (a) v =...

Extracted text: Find the Fourier coefficient c and the projection cw of v along w for each of the following. : (1, –2, 7,4) in Rª. t² and w =t+3 in P(t), with inner product (f(t), g(t)) = So f(t)g(t) dt. (a) v = (1,3, 1, 2) and w = (b) v = 1 (c) v = 3 [:] 1 in M2,2(R), inner product defined by (A, B) = tr(B" A). 1 and w = 4