628 












J. DOUGLAS HAMILTON DICKSON ON A CLASS OF DETERMINANTS. 



ous Gs Ooyeon= Ci A b, 5 b, F (pane = Gill i 
: Cy ) Cg é Cn+1 e 
b, ’ b, , b, & On ko 
G,, Ge\,|%U, &3| 5 |, UM), | 1, Ants 
Din a iO Os | iO On| Org wDaas 
Again 
as BoYoOn = —1 : b, ; b, , Ce ae 
‘ Ot, Gy|\ 5. | Bip Eas awe 
Ol, Ox| | Ory. Oa | Ons Bata) | 
Gi ROR se to | 7 Bie 4 bu 
M1, Ao, (3 5 (4 5 Oni3 Qy, &, - 
Day. Op, —~Os= cy Ga 65 On4s Ops, Clee 
which, by operations similar to those performed in evaluating y, , becomes 
2, 
a8 d¥0On =| - . 
: | 
Dic New, BS, Dye | 
a, Ay, My , 
a, bs , be bs , b,, Ons | 
In like manner from (4) we may write 
Biyio€n = ¢d, 

ke 
here 
| 
Q, 
Reducing the three lines containing c’s at the same time, this becomes 
3 Q2, 2 
a BiVoOo€, = od; 
Re 
db, -, 
bi, be, Onys |= 
b, , 
C2, 

Cy ? op) 2 Cni1 
by ? bs, bs Bas 
CO, 
C2 ? C3 ? Cn +2 
bs 5) b, 5) Dene 
Cz 
2 
b1, bs, Dass 
, Ag, Az, An+9 
b , bs , b, , Dns 
,, Az, As, My, Anis 
by bs , Os 5 b,, bass 

» 4, Chis 
a, dr, 
by > bs, 
’ b, ? 
U3, Unr2 
bs, Ons 
Bs» Ons 
M4, Anrzs 
Ds, On+s 
bi, On+s 
As, Any 
b; ? Bee 
? bs , b,, b 
4, %, € 
? a3, As, Ay, -§ 

