(a) Prove that the linear transformation associated with the improper orthogonal matrix is a reflection through the...
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is a reflection through the line that makes an angle 1/2 θ with the x-axis.
(b) Show that the composition of two such reflections, with angles θ, Ï, is a rotation. What is the angle of the rotation? Does the composition depend upon the order of the two reflections?
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