Non-standard Orientation of The Coordinate System
If a standard right-handed Cartesian coordinate system is used, with the x axis to the right and the y axis up, the rotation R(θ) is counterclockwise. If a left-handed Cartesian coordinate system is used, with x directed to the right but y directed down, R(θ) is clockwise. Such non-standard orientations are rarely used in mathematics but are common in 2D computer graphics, which often have the origin in the top left corner and the y-axis down the screen or page.
See below for other alternative conventions which may change the sense of the rotation produced by a rotation matrix.
Read more about this topic: Rotation Matrix, In Two Dimensions
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