2D vektorni x va y o'qlari atrofida aylantirish uchun matritsalar quyidagicha hisoblanishi mumkin: x o'qlari atrofida aylanish: `` Rx = [1, 0, 0; 0, cos(θx), -sin(θx); 0, sin(θx), cos(θx) ``` y o'qi atrofida aylanish: `` Ry = [cosθy), 0, sin(θy); 0, 1, 0; -sin(θy), 0, cosθy) ``` Bu yerda `θx` x o'qi atrofida aylanish burchagi, ``θy` esa y o'qi atrofida aylanish burchagi hisoblanadi. Matritsalar 2Ddagi aylanishlar uchun standart konvensiyadan yuqori bo'lgan holda ishlatiladi, bu yerda musbat 2Ddagi aylanishlar uchun standart konvensiya qo'll
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