Gram–Schmidt in C^3

Apply Gram–Schmidt to $v_1=(1,i,0)^T$ and $v_2=(1,0,1)^T$ in that order: $e_1=v_1/\lVert v_1\rVert$ and $e_2=\dfrac{v_2-\langle e_1\vert v_2\rangle e_1}{\lVert v_2-\langle e_1\vert v_2\rangle e_1\rVert}$. Enter the $3\times2$ complex matrix whose first column is $e_1$ and whose second column is $e_2$. Normalise by dividing by the (positive) norm; do not multiply either vector by an extra phase, because the Gram–Schmidt output is unique. Entries are accepted within $2\times10^{-3}$.