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1. On the Extraction of the Square Root of a Matrix of the Third Order

Published online by Cambridge University Press:  15 September 2014

Cayley
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Extract

Professor Tait has considered the question of finding the square root of a strain, or what is the same thing, that of a matrix of the third order— A mode of doing this is indicated in my “Memoir on the Theory of Matrices” (Phil. Trans., 1858, pp. 17–37), and it is interesting to work out the solution.

The notation and method will be understood from the simple case of a matrix of the second order. I write to denote the two equations, x1 = ax + by, y1 = cx + dy.

Type
Proceedings 1871-72
Information
Proceedings of the Royal Society of Edinburgh , Volume 7 , 1872 , pp. 675 - 682
Copyright
Copyright © Royal Society of Edinburgh 1872

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