The problem statement, all variables and given/known data Find three vectors in R^4 (none of which are the zero vector) such that they are linearly dependent and v3 is not in the Span of v1&v2. The attempt at a solution My answer was v1=[1,0,0,0] v2=[0,1,0,0] & v3=[0,0,1,0] Does this work? v3 is not in the span of v1&v2. If placed in a matrix set equal to zero, there is a free variable x4. So aren't they linearly dependent?