please i need just a and dthanks 4.97. Find a subset of u₁, 12, 13, 14 that gives a basis for W = span(u,) of R³, where-(a) u₁ = (1,1,1,2,3), u₂ = (1,2,-1, -2, 1), uz(b) ₁ = (1, -2,1,3,-1), u₂ = (-2,4, -2, -6,2),(c) u₁ = (1,0, 1, 0, 1), 1₂ = (1, 1, 2, 1,0),(d) ₁ = (1,0, 1, 1, 1), u₂=(2, 1, 2, 0, 1),(3,5,-1, -2,5), U4 = (1,2,1,-1,4)z = (1, -3, 1, 2, 1), u4=(3,-7, 3, 8, -1)4(1,2,1, 1, 1)u =(4,2,5,4,6)u3 = (2, 1, 3, 1, 1),u3 = (1, 1,2,3,4),

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Answered: 3, 14 gives a basis for W (a) ₁ =…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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3, 14 gives a basis for W (a) ₁ = (1,1,1,2,3), ₂ = (1,2,-1, -2, 1), uz (3,5,-1, -2,5), u = (1.2, 1,-1,4) = span(u) of R³, where