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The Three-line Determinants of a Six-by-Three Array

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

(1) If the array in question be

its score of three-line determinants |a1b2c3|, |a1b2f3|,.… may be viewed as consisting of two complementary sets of ten, each of the first set containing at least two columns taken from |a1b2c3|, and each of the second set at least two columns taken from |f1g2h3|. Further, either set of ten may be viewed as consisting of one unique member and three sub-sets of three members each, the members of a sub-set being derivable from one another by performing the cyclical substitutions

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 25 , Issue 1 , 1906 , pp. 364 - 371
Copyright
Copyright © Royal Society of Edinburgh 1906

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References

note * page 364 The original MS. was despatched by the author from Cape Town on 20th March 1904, but was lost in transit through the post.–[Sec. R.S.E.]

note * page 368 The other similar interchange gives nothing new.