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Let Y, P, and R be the yaw, pitch, and roll matrices given in equations (1), (2), and (3), respectively, and let
(a) Show that Y, P, and R all have determinants equal to 1.
(b) The matrix V represents a yaw with angle u. The inverse transformation should be a yaw with angle −u. Show that the matrix representation of the inverse transformation is
(c) Show that Q is nonsingular and express
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Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
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