3) Explain why S, = {(x, y) E R²:y > 0} and S1 = {(x, x²): x E R} are not subspaces of R?. %3D

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 34EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 34. ,
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3) Explain why S = {(x, y) E R²:y 2 0} and S = {(x, x²): x E R}
are not subspaces of R?.
Transcribed Image Text:3) Explain why S = {(x, y) E R²:y 2 0} and S = {(x, x²): x E R} are not subspaces of R?.
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