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Archives  ·  Vol. 9, No. 1 (2021)

Examining Possible LU Decompositions

Ly Jacky Nhiayi — Cal State Los Angeles
Tuyetdong Phan-Yamada — CSU Los Angeles

Abstract

LU decomposition is a fundamental in linear algebra. Numerous tools exists that provide this important factorization. The authors present the conditions for a matrix to have none, one, or infinitely many LU factorizations. In the case where no factorization exists, the authors illustrate how to approximate an LU decomposition by considering LU factorization of nearby matrices.

Keywords: GeoGebra, linear algebra, LU decomposition


Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856  ·  North American GeoGebra Journal