Section 6.2 Orthogonal Sets A set of vectors u1,u2,,up in Rn is called ...
Section 6.2 Orthogonal Sets A set of vectors u1,u2,,up in Rn is called ...
Section 6.2 Orthogonal Sets A set of vectors u1,u2,,up in Rn is called ...
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Recall that v <strong>is</strong> a unit vector if v v v v T v 1.S<strong>up</strong>pose U u 1 u 2 u 3 where u 1 ,u 2 ,u 3 <strong>is</strong> an orthonormal<strong>set</strong>.Then U T U u 1Tu 2Tu 3Tu 1 u 2 u 3 ItcanbeshownthatUU T I also. So U 1 U T (such a matrix <strong>is</strong><strong>called</strong> an orthogonal matrix).9
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