Suppose that S is a vector space that is a subspace of the space of functions from R to R. Furthermore suppose that every element of S is a polynomial function, and that if p is in S then p(5)=k, where k is some constant. What must the value of k be equal to and why?
Suppose that S is a vector space that is a subspace of the space of functions from R to R. Furthermore suppose that every element of S is a polynomial function, and that if p is in S then p(5)=k, where k is some constant. What must the value of k be equal to and why?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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![Suppose that S is a vector space that is a subspace of the space of functions from R to
R. Furthermore suppose that every element of S is a polynomial function, and that if p is
in S then p(5)=k, where k is some constant.
What must the value of k be equal to and why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34cc5c6b-5450-4c98-93f3-d37eba173724%2Fd04b5a73-7099-491b-99a2-8c4399a4adbc%2F70xcs8o_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that S is a vector space that is a subspace of the space of functions from R to
R. Furthermore suppose that every element of S is a polynomial function, and that if p is
in S then p(5)=k, where k is some constant.
What must the value of k be equal to and why?
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