# Elementary Linear Algebra and the Division Algorithm

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

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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