Question: (a) Show that if y12 + y22 + y23. + y42 = 1, then the matrix is a proper orthogonal matrix. The numbers y1, y2,

(a) Show that if y12 + y22 + y23. + y42 = 1, then the matrix

is a proper orthogonal matrix. The numbers y1, y2, y3, y4 are known as Cayley-Klein parameters.
(b) Write down a formula for Q-1.
(c) Prove the formulas

relating the Cayley-Klein parameters and the Euler angles of Exercise 5.3.4, [26. §4-5].

Cos cos N2=cos 2

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a By a long direct computation we find Q T Q y 2 1 y 2 2 y 2 3 y 2 4 2 I and detQ y ... View full answer

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