(a) Suppose K, M: U U are self-adjoint linear functions on an inner product space U....

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(a) Suppose K, M: U → U are self-adjoint linear functions on an inner product space U. Prove that (k[u], u) = (M[u], u) for all u ∈ U if and only if K = M.
(b) Explain why this result is false if the self-adjointness hypothesis is dropped.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:03 AM

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(a) Suppose K, M: U U are self-adjoint linear functions on an inner product space U....

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a Write the condition as Nu u 0 where N K M is also sel...View the full answer

Applied Linear Algebra

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