and a, 1 0 0 0 0 | 
a, uy 1 0 —i, 0 | 
Ge? 25 he ee en a oe " 
a, 0 by gate PE. hi 
a, 0 0 He 0 —A, 
| (b,5,) bo — ie, bu, b,A, oA, 
where (,6,') and (b,b,) mean 6,6,’ — bb, and bb, — bb, respectively. 
Reducing these determinants in the same way as before, we have 
immediately 
ye ORD. Div] 
a. pd 0 BO 
6, 
a, B, 140, 0 
b, | 
| : [SO ee 
a, 0 0 == b, b, 
1 
a, “D007 0, sb. 
C08 Be ON os 
the latter row representing the following values 
a= (.6.) §=—b, y=, db e= sl, 11) 
a=(bb,) B=bu, y=O d=0 e=—b 5=bb, 
6, tb, 
~~ the determinant (10) takes the form Au, + B. 
If we write u,— 
1 
By differentiation with respect to u,, A is determined by 
3 | 
LS ae 
du, | 
b 
Ed 0 
| b, 
A= — a,b, | 5 
eeh, 
Bit 
| b, 
| 6 a0 op, 
b, 
or 
