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Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's. 4 u2 16 and x = 8 u, = -2

Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's. 4 u2 16 and x = 8 u, = -2

Elementary Linear Algebra (MindTap Course List)
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 71E
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Show that {u, , u,) is an orthogonal basis for R². Then express x as a linear combination of the u's. 4 16 6. u1 u2 and x = - 8 - 2
Transcribed Image Text:Show that {u, , u,) is an orthogonal basis for R². Then express x as a linear combination of the u's. 4 16 6. u1 u2 and x = - 8 - 2
Express x as a linear combination of the u's. Ju, +Ju2 X = (Simplify your answers. Use integers or fractions for any numbers in the equation.)
Transcribed Image Text:Express x as a linear combination of the u's. Ju, +Ju2 X = (Simplify your answers. Use integers or fractions for any numbers in the equation.)
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