The electromagnetic field can be arranged in matrix form with antisymmetric components Fag as defined by the so-called field-strength tensor 0 Ey 0 By F = Ey - BZ 0 By 0 As a matrix, F transforms like the metric g in Homework 5, Problem 2, part (ii). (i) Apply a Lorentz boost A (along the r-axis, with velocity v) to F and read off the boosted electric and magnetic field vectors, E' and B'. (ii) Use your result to show that E - B is invariant