1. The generator matrix of a linear block code C (7, 3) is given as
G = 
(a) Determine the systematic form of the given generator matrix.
(b) Find the parity check matrix.
(c) Find the minimum distance of the code.
(d) Decide on the error detection and correction capability of this code.
(e) Construct the syndrome table of this code.
(f) Extend this code to a C(8, 3) linear block code. Find the generator and parity check matrices of the extended code.