Let {u 1 ..........u n } be an orthonormal basis for R n , and let
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Let {u1..........un} be an orthonormal basis for Rn, and let λ1..........λn be any real scalars. Define A = λ1u1u1T+.............+ λnununT
a. Show that A is symmetric.
b. Show that λ1,..........λn are the eigenvalues of A.
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a To show that A is symmetric we need to show that A equals its transpose The transpose of A is give...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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