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31 March, 23:53

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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  1. 1 April, 00:13
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    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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