Which set of vectors forms a basis for R2\mathbb{R}^2R2?
{⟨1,0⟩,⟨0,1⟩}\{\langle 1, 0 \rangle, \langle 0, 1 \rangle\}{⟨1,0⟩,⟨0,1⟩}
{⟨1,1⟩,⟨2,2⟩}\{\langle 1, 1 \rangle, \langle 2, 2 \rangle\}{⟨1,1⟩,⟨2,2⟩}
{⟨1,0⟩,⟨1,1⟩}\{\langle 1, 0 \rangle, \langle 1, 1 \rangle\}{⟨1,0⟩,⟨1,1⟩}
{⟨0,0⟩,⟨1,0⟩}\{\langle 0, 0 \rangle, \langle 1, 0 \rangle\}{⟨0,0⟩,⟨1,0⟩}