8. Let W denote the subspace of R consisting of all the vectors havingcoordinates that sum to zero. The vectorsU1- (2, —3, 4, —5, 2), из 3D (-6,9, —12, 15, —6),из %3D (3, —2,7, —9, 1), ид 3Dus — (-1,1,2, 1, -3), ив 3Dи7 %3D (1,0, —2,3, —2), из %3D(2,–8, 2, –2, 6),(0, –3, –18, 9, 12),(2, –1,1, –9, 7)generate W. Find a subset of the set {u1, u2, . . . , u8} that is a basis forW.

Consider the provided question, Write the given vectors into a matrix as below,

Answered: 8. Let W denote the subspace of R…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 45EQ

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