Let x and y be vectors in R3 and define the skewsymmetric matrix Ax by Ax = 0 x3 x2 x3 0

Chapter 2, Problem 16

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Let x and y be vectors in R3 and define the skewsymmetric matrix Ax by Ax = 0 x3 x2 x3 0 x1 x2 x1 0 (a) Show that x y = Axy. (b) Show that y x = ATx y.

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