x_M := VectorSpace(Q,2); x_m1 := Coerce(x_M,[1,0]);; x_m2 := Coerce(x_M,[1,1]);; IsIndependent([x_m1,x_m2]);

x_M := VectorSpace(Q,3); x_m1 := Element(x_M,[1,0,0]);; x_m2 := Element(x_M,[1,1,0]);; x_m3 := x_m1*2+x_m2;; IsIndependent([x_m1,x_m2,x_m3]);