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Matrices as Sums of Invertible Matrices

The author shows that any square matrix over a field is the sum of two invertible matrices, and that the decomposition is unique only if the matrix is nonzero and of size 2x2 with entries in the field of two elements.

Old Node ID: 
2701
Author(s): 
N. J. Lord (Tonbridge School, England)
Publication Date: 
Monday, July 21, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
February, 1987
Subject(s): 
Algebra and Number Theory
Abstract Algebra
Fields
Linear Algebra
Matrix Algebra
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
7.00
Rating Sum: 
24.00
Rating Average: 
3.43
Author (old format): 
N. J. Lord
Applicable Course(s): 
4.13 Advanced Linear Algebra
Modify Date: 
Tuesday, August 12, 2008
Average: 3.5 (7 votes)

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