394 DR THOMAS MUIR ON THE 
can be put in the form 
(238 59 BD’ 
0+ er 8 a Wy) — 7 
67 69’ 66 
Tir De ee es 
48 47’ 44’ 
vi eile pee 
6 c 6 : 6 
| 4 5 6 0+0' 
47’ 48’ 44’ ie 28’ 27 Dt 
Oe 7 Said ur eee Lal rsrou ek rl. So 
59 58’ 55’ 39’ 33 
asl ee Sa emu Bes 
q ean ‘ q : Oo aan oaaaT 
67 69’ 66’ 19 iu’ \ 
y Bw a ae 2 sf aa 
| 6 4 5 0+0' A 
This can be further improved by removing from the four-line determinant the 
terms containing 0’, and associating them in the form 0’V , with — >4’A, just as 0A, has” 
been associated with —24A,, the final result being 
47’ 48 44! The anak il’ 
0 hag 7 6 1- ce | 0 ay oy 7 4- 5 
59 58’ ay So 27 99! 
ie eos ie ac 8 eae pas eS = 
gy 7 | i es 3 cee 
67 69! 66’ 38 39’ 53 
erst SUMMER 
6 4 5 0 4’ 5 a 0! 
ire! 19 ay | 47’ 48 AA | 
Cao a re ee Oe: 6 ANE 
38 39’ 33a). 69’ 67 66’ 
etn 9 ees ea pis ca a 
l O+ 1 6 1 if 9 O+ 5 5 3 5 
Dili 28° DO, 59 58’ 55’ 
E Se pea pec aI 4 SO ae eae 
2 1 3 0) 1’ By ay Oe etl. 
thereafter the second and third columns, we find that either determinant has three rows 
in common with one of the determinants of the form from which this was derived. 
Subtraction is thus readily accomplished, the result being 
