How to take cross product of two 2D vector fields

I have 2 vector fields say and . I want to calculate cross product of A and B . I have 2D matrices of and .
i.e.
clear; clc;
% A = (Ax, Ay); B = (Bx, By);
Ax = rand(10,10);
Ay = rand(10,10);
Bx = rand(10,10);
By = rand(10,10);
% how to calculate A X B = ?

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