Linear algebra :Why is this set of row vectors of given matrix not a basis

The set of row vectors of the matrix [1,0,2,1],[-1,1,1,-3],[0,2,-3,4]. Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span.

A basis must be linearly independent which means that no one vector is a linear combination of the

others

However if the vectors have 4 components as you do here then you MUST have 4 vectors to form a basis!!!

I put the vectors in a matrix and used my calculator to put it in ref. There were 3 pivots so they are linearly independent.

The given vectors are linearly independent so they do from a basis for the subspace that they span.