[3pts] For vectors v = [−2, 5, 1] and u = [3, 0, 1], find the following vectors: u+ v v- u 2v - 3u [3pts] Here are six 7-vectors over GF(2): a=1010101 b=0101011 c=0110100 d=0101101 e=1101011 f=1110100
For each of the following vectors u, find a subset of the above vectors whose sum is u, or report that no such subset exists. u=0001111 u=1000110 u=1100011 [4pts] Show that the set of all n-vectors over GF(2) is a field
