Originally published in 1925, 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 third volume was
originally intended to be divided into two parts, but the second
section was never published. The part that made it into print deals
chiefly with applications to vector analysis and the theory of
invariants.
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