Figure 1: Figure from Problems 2. Left: original image. Right: transformed image. The black dot represents the origin. Problem 2 (Orthogonal Transformation). Figure 1 shows the effect of a or- thogonal linear transformation Q : R? → R?, where we take the vector to represent the point (x, y) in the Cartesian plane. Find Q, or at least a reasonable approximation.
Figure 1: Figure from Problems 2. Left: original image. Right: transformed image. The black dot represents the origin. Problem 2 (Orthogonal Transformation). Figure 1 shows the effect of a or- thogonal linear transformation Q : R? → R?, where we take the vector to represent the point (x, y) in the Cartesian plane. Find Q, or at least a reasonable approximation.
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Transcribed Image Text:Figure 1: Figure from Problems 2. Left: original image. Right: transformed
image. The black dot represents the origin.
Problem 2 (Orthogonal Transformation). Figure 1 shows the effect of a or-
thogonal linear transformation Q : R? → R?, where we take the vector
to
represent the point (r, y) in the Cartesian plane. Find Q, or at least a reasonable
approximation.
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