Suppose that u and v are non-zero orthogonal vectors in C4 satisfying the equation u · u – uv = 0. Then u+v u+v > u-v HY are orthogonal but not orthonormal u u v 2u v form an orthonormal basis of C4 u+v u-v u+v> u-v are orthonormal but not orthogonal None of the given options is correct.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 41E: Use the inner product u,v=2u1v1+u2v2 in R2 and Gram-Schmidt orthonormalization process to transform...
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Suppose that u and v are non-zero orthogonal vectors in C4 satisfying the equation u · u – uv = 0. Then
u+v
u+v > u-v
HY are orthogonal but not orthonormal
u
u v 2u v form an orthonormal basis of C4
u+v
u-v
u+v> u-v
are orthonormal but not orthogonal
None of the given options is correct.
Transcribed Image Text:Suppose that u and v are non-zero orthogonal vectors in C4 satisfying the equation u · u – uv = 0. Then u+v u+v > u-v HY are orthogonal but not orthonormal u u v 2u v form an orthonormal basis of C4 u+v u-v u+v> u-v are orthonormal but not orthogonal None of the given options is correct.
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