Question: 1. Calculate the DFT of the time-limited sequences specified in Examples 12.1(i)-(iv) using the matrix-vector approach.
2. Determine the time-limited sequence, with length 0 ≤ k ≤ N - 1, corresponding to the following DFTs X[r], which are defined for the DFT index 0 ≤ r ≤ N - 1: