Let L = L*: Rn Rn be a self-adjoint linear transformation with respect to the inner

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Let L = L*: Rn → Rn be a self-adjoint linear transformation with respect to the inner product (∙.∙). Prove that all its eigenvalues are real and the eigenvectors are orthogonal.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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