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On Powers of Matrices with Elements in the Field of Integers Modulo 2

Published online by Cambridge University Press:  03 November 2016

S.M. Cobb
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Extract

A certain type of transformation of a set of numbers may be represented as the multiplication of a vector by a square matrix. Repetition of the operation is equivalent to multiplying the original vector by a power of the matrix. Properties of powers of matrices are thus of considerable importance, and many general properties have been established for some time.

Type
Research Article
Information
The Mathematical Gazette , Volume 42 , Issue 342 , December 1958 , pp. 267 - 271
Copyright
Copyright © Mathematical Association 1958

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References

1. A Survey of Modern Algebra. Birkhoff, G. and Maclane, S.. Macmillan & Co. Google Scholar
2. An Introduction to the Theory of Canonical Matrices. Turnbull, H. W. and Aitken, A. C.. Blackie and Son.Google Scholar