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31. Let R* have the Euclidean inner product. Use the Gram- Schmidt process to transform the basis {u,, u2, u3, u4} into an orthonormal basis. u, = (0, 2, 1,0), u; = (1, 2,0, –1), u, = (1,0,0, 1) u, = (1, – 1,0, 0),

31. Let R* have the Euclidean inner product. Use the Gram- Schmidt process to transform the basis {u,, u2, u3, u4} into an orthonormal basis. u, = (0, 2, 1,0), u; = (1, 2,0, –1), u, = (1,0,0, 1) u, = (1, – 1,0, 0),

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.CM: Cumulative Review
Problem 16CM
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31. Let Rª have the Euclidean inner product. Use the Gram- Schmidt process to transform the basis {u, u2, u3, u̟} into an orthonormal basis. u, = (0, 2, 1,0), u; = (1, 2,0, –1), u, = (1,0,0, 1) u, = (1, – 1,0, 0),
Transcribed Image Text:31. Let Rª have the Euclidean inner product. Use the Gram- Schmidt process to transform the basis {u, u2, u3, u̟} into an orthonormal basis. u, = (0, 2, 1,0), u; = (1, 2,0, –1), u, = (1,0,0, 1) u, = (1, – 1,0, 0),
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