Consider the following set:S = { [x, y, z] E R³x+ 2y – z = 0}(a) Show that S is a subspace of R'.(b) Find a basis for S.(c) Find the dimension of S.

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Answered: Consider the following set: = {tx, y,…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 73CR

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Consider the following set: = {tx, y, z] € R³ : x + 2y – z = 0} (a) Show that S is a subspace of R°. (b) Find a basis for S. (c) Find the dimension of S.