Question: Besides translating a point, it is also important in computer graphics to be able to rotate a point. This is achieved by multiplying a points

Besides translating a point, it is also important in computer graphics to be able to rotate a point. This is achieved by multiplying a point’s column matrix by an appropriate rotation matrix R to form the matrix product RX. For example, to rotate a point 60°, the rotation matrix is R || = 0 0 1

(a) Write the coordinates of the point (6, 4) after it has been rotated 60°.

(b) Find and interpret R⁻¹.

R || = 0 0 1

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