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Elementary Linear Algebra and the Division Algorithm

by Airton von Sohsten de Medeiros (Instituto de Matemática, Brazil)

This article originally appeared in:
College Mathematics Journal
January, 2002

Subject classification(s): Algebra and Number Theory | Linear Algebra
Applicable Course(s): 3.8 Linear/Matrix Algebra

This article provides a proof of division algorithm in polynomial rings using linear algebra techniques. The proof uses the fact that polynomials of degree equal to and less than n form a vector space of dimensional \(n+1\).

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Capsule Course Topic(s):
Linear Algebra | Span
Linear Algebra | Vector Spaces, Subspaces
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