2. Let u1 = (1,0,0,0,0,1,1), u2 = (0,1,0,0,1,0,1), uz = (0,0,1,0,1,1,0)) 0 0 0 1 1 1 11 U4 = (0,0,0,1,1,1,1) and H= 0 1 1 0 0 1 1 1 0 1 0 1 0 1] a.) Determine all 16 vectors contained in span(u1,42,43,44) = C7,4. b.) Determine the following sum as a base 10 number. Each vector in zz is a message representing a base 10 number from 0 to 15. The first four coordinates represent the corresponding base 2 number and the last three coordinates represent the parity checks. (Hint: Decode the vectors using the matrix H before adding the corresponding values) (0,1,1,1,0,1,1)' + (1,0,0,1,1,1,1) + (1,1,0,0,1,1,1) 2. Let u1 = (1,0,0,0,0,1,1), u2 = (0,1,0,0,1,0,1), uz = (0,0,1,0,1,1,0)) 0 0 0 1 1 1 11 U4 = (0,0,0,1,1,1,1) and H= 0 1 1 0 0 1 1 1 0 1 0 1 0 1] a.) Determine all 16 vectors contained in span(u1,42,43,44) = C7,4. b.) Determine the following sum as a base 10 number. Each vector in zz is a message representing a base 10 number from 0 to 15. The first four coordinates represent the corresponding base 2 number and the last three coordinates represent the parity checks. (Hint: Decode the vectors using the matrix H before adding the corresponding values) (0,1,1,1,0,1,1)' + (1,0,0,1,1,1,1) + (1,1,0,0,1,1,1)