Originally published in 1913, this book forms part of a
three-volume work created to expand upon the content of a series of
lectures delivered at the University of Calcutta during the winter
of 1909-10. The chief feature of all three volumes is that they
deal with rectangular matrices and determinoids as distinguished
from square matrices and determinants, the determinoid of a
rectangular matrix being related to it in the same way as a
determinant is related to a square matrix. An attempt is made to
set forth a complete and consistent theory or calculus of
rectangular matrices and determinoids. The first volume contains
the most fundamental portions of the theory and concludes with the
solution of any system of linear algebraic equations, which is
treated as a special case of the solution of a matrix equation of
the first degree.
General
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