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Gaussian Elimination in Integer Arithmetic: An Application of the \(L\)-\(U\) Factorization

Using L-U factorization, the author generates examples of matrices for which Gaussian elimination process can be done in integer arithmetic, including examples of matrices that are invertible over the integers.

Old Node ID: 
779
Author(s): 
Thomas Hern (Bowling Green State University)
Publication Date: 
Wednesday, September 21, 2005
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 1993
Subject(s): 
Algebra and Number Theory
Linear Algebra
Matrix Algebra
Topic(s): 
Linear Algebra
Matrix Factorizations
Matrix Invertibility
Solving Linear Systems: Gaussian Elimination
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
24.00
Rating Sum: 
71.00
Rating Average: 
2.96
Author (old format): 
Thomas Hern
Applicable Course(s): 
3.8 Linear/Matrix Algebra
Modify Date: 
Tuesday, January 31, 2006
Average: 3 (24 votes)

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