Show that the system S is not a vector space by showing one of the axioms is not satisfied with the usual rules for addition and multiplication by a scalar in ℝ3
The Attempt at a Solution
The subscripts for the x's are strange I think but I guess that shouldn't make a difference.
But I'm really stuck on this I think it should be fairly easy though.
but for example if I try closure under scalar multiplication
or closure under addition I keep coming to a dead end because I don't know the value of the x's.
I think I just need a hint in the right direction. Thanks