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3. Prove that the set S is a subspace of the vector space V V = C(R) and S is the set of f in V such that f(4) = 0. %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 37EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 37. V = P, W is the...

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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3. Prove that the set S is a subspace of the vector space V
V = C(R) and S is the set of f in V such that f(4) = 0.
%3D

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