In some cases, the processes of calculation are remarkably similar to other historical gems: for example, Cramer's rule (Katz, 2004, pp.
An excellent description of this sutra by Babajee (2012) makes a comparison to Cramer's rule which is an interesting side note in itself.
Special attention is paid to the linear ODE, the operational methods for differential systems of equations (substitution method, Cramer's rule
There are tables of mathematical relations and of standard component values and a review of Cramer's Rule
for the solution of a set of linear simultaneous equations.
Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule
Cramer's rule for the W-weighted Drazin inverse solutions, in particular, has been derived in  for singular linear equations and in  for a class of restricted matrix equations.
In the paper we investigate analogs of Cramer's rule for W-weighted Drazin inverse solutions of the following quaternion matrix equations:
what is known as Chio's pivotal condensation process for computing determinants and Cramer's Rule
Next, the book explores linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule
Totally differentiating the resulting equations and using Cramer's rule
, one obtains:
Totally differentiating (1)-(3) and using Cramer's rule
, one obtains:
4 The Determinant of a Square Matrix and Cramer's Rule