Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-17T00:36:05.790Z Has data issue: false hasContentIssue false
  • English
  • Français

A Peculiar Set of Linear Equations

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
Get access

Extract

It is easily seen that each of the equations of the set

remains unaltered for each of the three interchanges

and that the set as a whole is not altered by the simultaneous performance of the cyclical substitutions

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 23 , 1902 , pp. 248 - 260
Copyright
Copyright © Royal Society of Edinburgh 1902

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* The peculiar set of equations dealt with in this short paper can scarcely have escaped notice until now. They were suggested to me while examining a problem set by Professor Nanson in the Educational Times for September 1900, viz., “If a=(x2 – y)/(1 – xy), and b=(y2 – x)/(1 – xy), prove that (a2 – b)/(1 – ab) = x and (b2 – a)/(1 – ab) = y.”