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Mathematics, 08.08.2019 02:10 nickocasamplonp6mlob

1. show that (x | y) =-trace(xy) defines a real inner product on su(2), by verifying the following. let x, y, z e su(2), x e ir. (a) (xix)0. (hint: you need to know something about the eigen- values of a skew-hermitian matrix.) ((b) (x) x) = 0 if and only if x = o

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