Anyone know of such vector? I've played around with it and I can get a vector that works for the first but it also works for the second.
ok, you did well setting up the matrices.
note that the solution to the first is:
(you should probably check this, i always mess up the arithmetic somewhere because i try to do it in my head )
the solution to the second is:
hmm, something looks familiar here.
note that the latter matrix is inconsistent if . so choose a,b, and c that work for the first solution but make and you can find your vector.