If {u1, u2,..., uk} is an orthonormal set of vectors in Rn and U = (ul, u2, uk) then UUT = In (the n n identity matrix).

If {u1, u2,..., uk} is an orthonormal set of vectors in Rn and
U = (ul, u2, uk)
then UUT = In (the n × n identity matrix).

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Related Book For answer-question

Linear Algebra with Applications

7th edition

Authors: Steven J. Leon

ISBN: 978-0131857858