Consider the finite-duration signal x(n) = {1, 2, 3, 1} (a) Compute its four-point DFT by solving

Question:

Consider the finite-duration signal
x(n) = {1, 2, 3, 1}
(a) Compute its four-point DFT by solving explicitly the 4-by-4 system of linear equations defined by the inverse DFT formula.
(b) Check the answer in part (a) by computing the four-point DFT, using its definition.