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Explain why the space of all polynomials is an
Chapter 4, Problem 27E(choose chapter or problem)
QUESTION:
Explain why the space of all polynomials is an infinite-dimensional space.
Questions & Answers
QUESTION:
Explain why the space of all polynomials is an infinite-dimensional space.
ANSWER:Solution 27EStep 1 of 5Objective is to explain that the space of all polynomials is an infinite dimensional space.Let us consider the polynomial given by The standard basis for the polynomial is which implies that dimension .Next, consider the polynomial given by The standard basis for this polynomial is and dimension of .