Determine if each of the following sets is a subspace of Pn, for an appropriate value of n. Type "yes" or "no" for each answer. Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R. Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R. Let W3 be the set of all polynomials of the form p(t) = at² + at, where a is in R. i (~)

Determine if each of the following sets is a subspace of Pn, for an appropriate value of n. Type "yes" or "no" for each answer. Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R. Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R. Let W3 be the set of all polynomials of the form p(t) = at² + at, where a is in R. i (~)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 58EQ

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