PARTIAL FRACTION DECOMPOSITION FROM A LINEAR-ALGEBRAIC VIEWPOINT

  • Lee, Jeong Keun (Department of mathematics, Sun Moon University) ;
  • Choa, Jun Soo (Department of mathematics education, Sungkyunkwan University) ;
  • Cho, Min Shik (Department of mathematics education, Korean National University of Education) ;
  • Han, Dong Hwan (Department of mathematics, Sun Moon University)
  • Received : 2009.08.08
  • Accepted : 2009.11.06
  • Published : 2009.12.30

Abstract

We show that to every real polynomial of degree n, there corresponds a certain basis for the space of polynomials of degree less than or equal to (n-1). As an application, we give a new proof for the existence and uniqueness of the partial fraction decomposition of a rational function.

Keywords

References

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