Proceedings of the Edinburgh Mathematical Society

Table of Contents - Volume 26 - 1907  

Research Article

To express a Determinant of the nth Order in terms of Compound Determinants of the 2nd Order, and vice-versa

R. F. Muirhead

Let φ(a b′ c″) denote the compound determinant,

S001309150003652X_eqnU1

Then if A, B, etc., denote the co-factors of the elements a, b, etc. in the determinant (a b′ c″), we have

S001309150003652X_eqnU2

(Received March 13 1907)