(a) Show that a reflection matrix, and representing a rotation by angle θ around the z axis,...

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(a) Show that
(a) Show that
a reflection matrix, and
representing a rotation by angle

a reflection matrix, and

(a) Show that
a reflection matrix, and
representing a rotation by angle

representing a rotation by angle θ 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?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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