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Two Theorems on Determinants, and their Application to the Proof of the Volume-Formula for Tetrahedra

Published online by Cambridge University Press:  31 October 2008

R. F. Muirhead
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Theorem I. If to each of the elements of any row of a determinant there be added the same fraction of the difference between the corresponding elements in two other rows, the value of the determinant is unaltered. This is a case of a well known elementary theorem.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 13 , May 1913 , pp. 151 - 153
Copyright
Copyright © Edinburgh Mathematical Society 1913