Which of the followings is a base of the set W = {[x 0 y] : x,y E R}?O A){[1 0 1], [0 1 1]}{[1 0 1), [1 1 1]}O B){[10 1], [0 0 0]}O D) {[10 1], [2 1 1]}{[10 0], [0 0 1]}E)

As per given by the question, There are given that, Then, Find the base of the set W. Now, From the…

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Which of the followings is a base of the set W = {[x 0 y] : x,y E R}:

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.4: Prime Factors And Greatest Common Divisor

Problem 4E: Find the smallest integer in the given set. { and for some in } { and for some in }

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Question

Which of the followings is a base of the set W = {[x 0 y] : x,y E R}?
O A)
{[1 0 1], [0 1 1]}
{[1 0 1), [1 1 1]}
O B)
{[10 1], [0 0 0]}
O D) {[10 1], [2 1 1]}
{[10 0], [0 0 1]}
E)

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