Let A = C(a) be the circular matrix the ?rst column a of which is given by a0 = 1 2, a1 = 1 4, a2 =.

Let A = C(a) be the circular matrix the ?rst column a of which is given by a0 = 1 2, a1 = 1 4, a2 = 1 2, a3 = -1 4 - 1 4 v2, a4 = 0,a5 = 1 4, a6 = 0, a7 =-1 4 + 1 4 v2. Using the Convolution Theorem, show that the matrix C(a) is invertible, and compute C(x)=C(a)-1.