Bir nuqtani (x, y) transformatsiya matritsa yordamida aylantirish uchun nuqtani aylanish matritsa bilan ko'paytirish kerak. Natija aylangan nuqtani ifodalovchi yangi nuqta (x', y') bo'ladi. Matritsa ko'paytmasi quyidagicha amalga oshiriladi: ''shell [x'] = [cos(θ) -sin(θ)][x] [y] [sin(θ) cosθ)][y]'''Bu yerda 'θ' aylanish burchagi va (x, y) aylantirishni xohlagan asl nuqta. Natija (x', y') aylangan nuqta. Ushbu aylanish matritsa 'θ' belgisiga qarab, ham soat yo'nalishi, ham soat yo'nalishi bilan aylanish uchun ishlatilishi mumkin.
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