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Let Aφ= cosφ −sinφ sinφ cosφ • A is the matrix of rotation by angle φ • AφAψ= Aφψ • AT φ = A−φ • A−1 φ = A−φ= A T φ • Columns of Aφ form an orthonormal basis for R2 • Rows of Aφ form an orthonormal basis for R2. N p y t p \ p v y t n r q q r v n p z t x y r x n p v n t s w s t v n u n t s s r q n q p o n m l k ^ t z p x n t s s r q n q r v c b a ` 2 0 > 6 ;. H pdlo lqir vdlwr ye#jpdlo frp í#æ3¸ ¥4# b z v w Ü bh pdlo @ ¶ ^ 8 c e 8 o z c t i 8 ^ 8 b ¬ « Ï î ¶ 7d _ ° k z > 8 z c t i 8 @ ²0 m _0° ° b v3æ Ü k z c t i 8 í ± \ ¥.

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