Determine if the following set, W, is a subspace of P3, the vector space of all polynomials of degree less than or equal to 3 with real coefficients. If it is a subspace, prove it. If it is not, explain why. W is the set of all polynomials of degree at most 3, with integers as coefficients. (hint: the set of integers is {...,-3,-2,-1,0,1,2,3...}. An example of a polynomial in this space is -2t³+4t²)

Determine if the following set, W, is a subspace of P3, the vector space of all polynomials of degree less than or equal to 3 with real coefficients. If it is a subspace, prove it. If it is not, explain why. W is the set of all polynomials of degree at most 3, with integers as coefficients. (hint: the set of integers is {...,-3,-2,-1,0,1,2,3...}. An example of a polynomial in this space is -2t³+4t²)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 73CR

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