For the binary group code whose generator matrix is:
[[1,0,1,0,1,1],[0,1,1,1,1,0],[0,0,0,1,1,1]],
(a) Find the generator matrix G in the systematic form for an equiva-
lent code.
(b) Find the parity-check matrix H for the code in (a).
(c) Find the codeword that has 110 as information symbols. Show that
it is in the row space of G and in the null space of H.