Static magneto conductivity tensor for the drift velocity theory of (51), show that the static current density

Question:

Static magneto conductivity tensor for the drift velocity theory of (51), show that the static current density can be written in matrix form as in the high magnetic field limit of w_c? >> 1, show that ?_yx = nec/B = ?_xy?in this limit ?_xx = 0, to order 1/wc_?. The quantity ?_yx is called the Hall conductivity