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Published online by Cambridge University Press: 15 September 2014
MY last communication in reference to the history of general determinants dealt with the period 1844–1852 (Proc. Roy. Soc. Edin., xxv. pp. 908–947). The present paper continues the history up to 1860, but in addition contains an account of five writings belonging to previous periods, namely, by Bianchi (1839), Chelini (1840), Terquem (1846), Hermite (1849), Salmon (1852).
page 677 note * The second determinant is incorrectly printed in the original.
page 686 note * Cayley's first memoir on quantics was presented to the Royal Society of London on 20th April, and this paper on the notation of matrices is the first of five which appeared together in Crelle's Journal with the date 24th May affixed by the author.
page 690 note * Brioschi does not note the independent importance of his second set of equations, which may be condensed into
and which, when r, s=1, 1 and n=3, is
This, however, may be viewed also as a case of Sylvester's theorem, namely, where the first row of P is 1,0, 0.
page 701 note * In using the notation ║ ║ he is not more explicit than its author, Cayley. If it were explained that
stands for
it would rediely follow that the statement
was short for
and that
was short for