Given the subset W = {(1,1,0), (0,1,1), (1,3,2)} of R³, which of the following is thesubspace of R³ spanned by W?a) SpanW = {(x, y, z) € R³|x − y + z = 0}.b) SpanWR³.c) SpanW = {(x, y, z) € R³|z − x - 2y = 0}.d) None of the choices in the list is correct.=

Answered: Given the subset W = {(1,1,0), (0,1,1),…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 21E

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Given the subset W = {(1,1,0), (0,1,1), (1,3,2)} of R³, which of the following is the subspace of R³ spanned by W? a) SpanW = {(x, y, z) € R³|x − y + z = 0}. b) SpanW = R³. c) SpanW = {(x, y, z) € R³|z − x – 2y = 0}. d) None of the choices in the list is correct.