Given a unit vector ||u|| = 1 in R3, let A = Au be the corresponding skew-symmetric
Question:
(a) Prove the Euler-Rodrigues formula etA = I + (sinr)A + (1 - cos t) A2. Use the matrix exponential series (9.46).
(b) Show that etA = I if and only if / is an integer multiple of 2π.
(c) Generalize parts (a) and (b) to a non-unit vector v ≠ 0.
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a Since we have while A 3 a 2 b 2 c 2 A A Therefore by ...View the full answer
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