Question: (a) Show that a reflection matrix, and representing a rotation by angle Î¸ around the z axis, are both orthogonal. (b) Verify that the products

(a) Show that

a reflection matrix, and

representing a rotation by angle Î¸ around the z axis, are both orthogonal.
(b) Verify that the products R Q and QR are also orthogonal.
(c) Which of the preceding matrices, R, Q, R Q, Q R are proper orthogonal?

0 001 cos sin 0

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