5. Consider the three linearly independent vectors U₁ = = (1, 0, 0, 0), u₂ = (0, 1, 0, 1), and u3 = (0, 0, 2, 2), and let WC R4 be the span of B = {U₁, U₂, U3}. (a) Apply the Gram-Schmidt algorithm to the basis B to produce a new basis B' = orthonormal with respect to the dot product. {V1, V2, V3} which is

5. Consider the three linearly independent vectors U₁ = = (1, 0, 0, 0), u₂ = (0, 1, 0, 1), and u3 = (0, 0, 2, 2), and let WC R4 be the span of B = {U₁, U₂, U3}. (a) Apply the Gram-Schmidt algorithm to the basis B to produce a new basis B' = orthonormal with respect to the dot product. {V1, V2, V3} which is

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 37EQ

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