The theory of determinants in the historical order of development, by Sir Thomas Muir.

CUBIC AND N-DIMENSIONAL DETERMINANTS 4.31
1878. GASPARIS, A. DE. Prodotto di due determinanti a tre indict
espresso con un determinante ordinario. Atti... Accad.
dei Lincei, (3) Transunti, iii. pp. 44-45.
1879. TANNER, H. W. LLOYD. Notes on determinants of n dimensions. Proceed. London Math. Soc., x. pp. 167-180.
1879. SCOTT, R. F. On cubic determinants and other determinants
of higher class, and on determinants of alternate numbers.
Proceed. London Math. Soc., xi. pp. 17-29.
Of the many text-books published during the period,only Giinther's
(1875, 1877) and Baraniecki's (1878) gave the new 'determinants'
a place (see above, pp. 54-55, 75); and the latter, not without
reason, relegated them to an appendix.