(a) The Hadamard matrix H1 has the rows 00 and 01. Viewed as binary codewords, this is rather foolish since the first binary digit is always 0 and thus carries no information at all. Map the symbols 0 and 1 into the signals a and -a, respectively, a > 0, and plot these two signals on a 2D plane. Explain the purpose of the first bit in terms of generating orthogonal signals. (b) Assume that the mod-2 sum of each pair of rows of Hb is another row of Hb for any given integer b ≥ 1. Use this to prove the same result for Hb+1