kokbudak42 kokbudak42

07-02-2017
Mathematics

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Find the transformation matrix that rotates a rectangular coordinate system through an angle of 120° (counterclockwise) about an axis making equal angles with the original three coordinate axes.

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MissPhiladelphia MissPhiladelphia

12-02-2017

Since the coordinate system is rectangular, we have the matrix
[ x ]
[ y ]

The transformation matrix is
[ cos 120 sin 120 ] [ x ] = [ x' ]
[ -sin 120 cos 120 ] [ y ] = [ y' ]

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