i got this question and i dotn understand what to do to find a matrix, is it even possible? Here is the question: We define f: B3 B7 by f(w) = wwx, where
• x is 1 if the number of 1’s in w is even
• x is 0 if the number of 1’s in w is odd

List the elements of B3 [Hint: one of them is 011]
Use the rule f defined above to list the elements of the code in B7 [Further hint: one of these is 0110111]
If possible find the generator matrix G in this case.
[Tip: use the rules of matrix multiplication to check that your generator matrix has the correct dimensions]
If it is not possible explain why not.
I found the elements of B3 as 100, 011
and the elements of b7 as 0000001, 0010010, 0100100, 0110111, 1001000, 1011011, 1101101, 1111110 can anyone solve the amtrix question please?