
 DETERMINANT  Online Information article about DETERMINANT 
  rule for the derivation of the determinants of the orders r, 2, 3, 4, andc., each from the preceding one, viz. 
  article, consider the determinant ax +by +cz d b,c ; a'x+b'y+c'zd', b', c' a"x+b"y+c"z—d", b", c" it appears that this is =xla,b,c I+y b,b,cI+zlc,b,c,d,b,c I; r r ' ' r '. 
  Lagrange, in his memoir on Pyramids, used determinants of the third order, and proved that the square of a determinant was also a determinant. 
 encyclopedia.jrank.org /DEM_DIO/DETERMINANT.html (1971 words) 
