Show that similarity preserves matrix multiplication (that is, if A e B e = C e ,
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Show that similarity preserves matrix multiplication (that is, if AeBe = Ce, then AfBf = Cf). Similarity does not, in general, preserve symmetry, reality, or hermiticity; show, however, that if S is unitary, and He is hermitian, then Hf is hermitian. Show that S carries an orthonormal basis into another orthonormal basis if and only if it is unitary.
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From Eq A64 we have Af Bf SASSBS SABS SCS Cf Suppose SS and He Het S unita...View the full answer
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Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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