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Determine whether each of the following sets are subspaces of R³ with the standard operations. sure to justify your answer. ) W₁ = {21, 22, 2122 | 2₁, 22 are real numbers} W₂ = {y₁, y₁ + 2y3, Y3 | Y₁, Y3 are real numbers}

Determine whether each of the following sets are subspaces of R³ with the standard operations. sure to justify your answer. ) W₁ = {21, 22, 2122 | 2₁, 22 are real numbers} W₂ = {y₁, y₁ + 2y3, Y3 | Y₁, Y3 are real numbers}

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 31EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn, W is the set...
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3. Determine whether each of the following sets are subspaces of R³ with the standard operations. Be sure to justify your answer. (a) (b) W₁ = {21, 22, 2122 | 2₁, 22 are real numbers} W₂ = {y₁, y₁ + 2y3, Y3 |Y₁, Y3 are real numbers}
Transcribed Image Text:3. Determine whether each of the following sets are subspaces of R³ with the standard operations. Be sure to justify your answer. (a) (b) W₁ = {21, 22, 2122 | 2₁, 22 are real numbers} W₂ = {y₁, y₁ + 2y3, Y3 |Y₁, Y3 are real numbers}
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