204 



TREATISE ON ALTERNATING CURRENTS. 



4- & 4 2 W X,, 

 A' -f ^v,X 



and S v is the sum of all possible products two at a time, 



and so on. 

 Put 



and 

 so that 



Again 



D = A - X/-A, H 



where 



A = 



. . . (6) 



pM nl , 

 A, is A with the sth row and column deleted, and so on. 



Put 



A + 7; 2 2?y A, + . . . = X 



and 

 therefore 

 Thus 



. . . = F 



X - kY 



Note that A' contains no term in r\. 

 Let A 2 , A 3 , etc., 

 .#2, ft, etc., 



be the values corresponding to AI, BI when the 2nd, 3rd, etc., 

 columns only of A are composed of 1's. 

 Then 



X - kY 



Putting- 



. . . +B H 



