Prove that the following subset S of is a subspace of . The subset S consists of all vectors with an even number of 1s, e.g. (1,0,1,0,0) and (0,0,0,0,0) are both in S while (1,0,1,0,1) is not in S.
Note: = mod 2 or binary system
Last edited by Neo; April 23rd 2009 at 09:43 PM.
Reason: Re-wrote using latex