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On a Theorem regarding the Difference between any Two Terms of the Adjugate Determinant

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

If we take the set of equations

the eliminant of which is

and from the 1st, 2nd, and 3rd eliminate xyw and xyz, from the 2nd, 3rd, and 4th eliminate xyz and yzw, from the 3rd, 4th, and 1st eliminate yzw and xzw, and from the 4th, 1st, and 2nd eliminate xzw and xyw, we obtain the set

the eliminant of which is clearly

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 20 , 1895 , pp. 323 - 327
Copyright
Copyright © Royal Society of Edinburgh 1895

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References

page 326 note * Trans. Roy. Soc. Edin., xxx. pp. 1–4.