256 



PROFESSOR K. PEARSON AND MR. L. X. G. FILOX 



Subtract r, 3 times the fifth from the second, and r tt times the fourth from the third 

 column : 



M (o-,, r, :i ) = - 



0, 

 0, 



*12 + 



ris + 

 o, 



i, o, 



0, 1, 



n, n-j, 



o, - m 



r, 2 , 



1, r a 



n,, 1 



Add r 13 times the second column to the fifth and r,, times the third to the fourth, 



we have 



1, 



0, 



0, 

 0, 



0, 



K, 



R 1:i) R,,, 



0, 

 1, 



0, 

 0, 





 



-R22 



<r,o-.>ff; 



(xxxv.). 



Now we have seen that 



^ = ^^ by (viii.) of Art. (4), 



and further 2,, and S^ are given by (xv.) and (xvi.) of Art. (6). Hence 



/ ;\ 



In the next place we will determine R,. liriJ - The minor M (r 12 , ?-, 3 ) is given by 



