Q2. y x+y 0 0 a) Let V = M,a and let W be the set of all 2×3 matrices of the form where x, y, z eR. Is W a subspace of V ? Explain your answer. b) Let V = R² and let W = {(x,x²)| xe R}. Is W a subspace of V ? Explain your answer.

Q2. y x+y 0 0 a) Let V = M,a and let W be the set of all 2×3 matrices of the form where x, y, z eR. Is W a subspace of V ? Explain your answer. b) Let V = R² and let W = {(x,x²)| xe R}. Is W a subspace of V ? Explain your answer.

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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Q2.
y x+y
a) Let V = M,a and let W be the set of all 2×3 matrices of the form
where
x, y, z e R. Is W a subspace of V ? Explain your answer.
b) Let V = R? and let W = {(x,x² )| x e R}. Is W a subspace of V ? Explain your answer.

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