You are here

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 \(n+1\).


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
Linear Algebra | Span
Linear Algebra | Vector Spaces, Subspaces
Average: 2.8 (55 votes)

Dummy View - NOT TO BE DELETED