Problem on Matrices

Algebra Level pending

Consider the set of (column) vector defined by X={x belongs to R^3 | x1 + x2+ x3 =0, where X ^T =[x1,x2,x3]^T }, which of the following is true?

{{ [1,-1,0] }^{ T } ,{ [1,0,-1] }^{ T } }LinearIndependentButItDoesNotSpan X . {{ [1,-1,0] }^{ T } ,{ [1,0,-1] }^{ T } } is a basis for the sub space X None of these X is not a subspace for { R }^{ 3 }