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Rotation of a figure about a point p in ℝ2 is accomplished by first translating the figure by −p, rotating about the origin, and then translating back by p. See Figure 7. Construct the 3 × 3 matrix that rotates points −30° about the point (−2, 6), using homogeneous coordinates.
(a) Original figure.
(b)Translated to origin by–p.
(c) Rotated about the origin.
(d) Translated back by p.
FIGURE 7 Rotation of figure about point p.
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EBK LINEAR ALGEBRA AND ITS APPLICATIONS
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