1913-14.] Factorable Minors of a Compound Determinant. 31 
For if we multiply D by 
p - 1 k 
A ITT IM 
0 0 
/\(n\m\ k ) 
/ a Ph +i 
\ \ {n\m\ k) 
\ 1 a ft h +i 
which by Sylvester’s theorem is equal to 
^ (n | m) 3 
a 
(ji | m) 
the resulting determinant will have every element on one side of the 
diagonal zero, and therefore equal to the product of the elements along the 
diagonal. Dividing out the common factor from both sides, we get the 
o o 7 o 
result given. 
Syracuse University, 
March 1913. 
(Issued separately December 31, 1913.) 
