Let Note that u 1 and u 2 are orthogonal but that u 3 is not orthogonal to u 1 or u 2 It can be shown that u 3 is not in the subspace W spanned by u 1 and u 2 Use this fact to construct a nonzero vector v in R 3 that is orthogonal to u 1 and u 2 2 and...

Let Note that u 1 and u 2 are orthogonal but that u 3 is not orthogonal

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Let

Note that u₁ and u₂ are orthogonal but that u₃ is not orthogonal to u₁ or u₂. It can be shown that u₃ is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and u₂.

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By the Orthogonal Decomposition Theorem u3 is the sum of a vector in W Spanuu and a vector v orth...View the full answer

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Question Posted: May 15, 2023 06:31 AM

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Let Note that u 1 and u 2 are orthogonal but that u 3 is not orthogonal

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---------] = -2 and

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By the Orthogonal Decomposition Theorem u3 is the sum of a vector in W Spanuu and a vector v orth...View the full answer

Linear Algebra And Its Applications

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