(a) Let K and L be symmetric n x n matrices. Prove that xTKx = xTx for...

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(a) Let K and L be symmetric n x n matrices. Prove that xTKx = xTx for all x ∈ Rn if and only if K = L.
(b) Find an example of two non-sy mmetric matrices K ≠ L such that xTKx = xTLx for all
X € Rn.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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