Let z = x + I y Cn. (a) Prove that, for the Hermitian dot product,

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Let z = x + I y ∈ Cn.
(a) Prove that, for the Hermitian dot product, ||z||2 = ||x||2 + ||y||2
(b) Does this formula remain valid under a more general Hermitian inner product on Cn?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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