i need the answer quickly Let W = ((0, x, y, z): x + 6y – 92 = 0 } bc a subspace of R.Then a basis for W is:((0,,6,1,0), (0,9,0,1)}None of the mentioned(0,3,1,0), (0,9,0,)((0,6,1,0), (0,-9,0,1)}

Basis for a subspace of a vector space

Answered: Let W = {(0, x, y, z): x + 6y- 9z = 0}…

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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Let W = {(0, x, y, z): x + 6y- 9z = 0} be a subspace of R. Then a basis for W is: O (0,6,1,0), (0,9,0,1)} ) None of the mentioned ((0,3,1,0), (0,9,0,1)} O {(0,6,1,0), (0,-9,0,1)}