Use the matrix solver in a program like Mathematica to solve (3.1.20) for a general k(vector) , and plot versus k, for k(vector) in

Use the matrix solver in a program like Mathematica to solve (3.1.20) for a general k(vector) , and plot ω versus k, for k(vector)  in two different directions in the plane. Determine the polarization vector of the two modes in each case.

K - 2) + -(xo + yo)(e(kxa+kya) + ei(kxa+ka) 2) 2 +e-i(kxa-kya) - 2) K -wMyo = Kyo(eikya + e-ikya 2) + (xo + yo)(ei(ka+kya) + ei(ka+kya) 2) 2 K 2(xo-yo)(e(ka-ka) t ikxa -w Mxo Kxo(eik = + K 2(xo -ik xa te (xo yo)(e(kxakya) -i(ka-kya) 2). - (3.1.20)