No. It's not always applicable. The system must have the same number of equations as variables, that is, the coefficient matrix of the system must be square.
No, Crammer’s Rule isn’t always
applicable when trying to solve a system of linear equations because let’s say
for example, i<span>f the determinant of the coefficient matrix is 0,
then Cramer's rule cannot be applied. This
usually happens there’s no solution or an infinite number of solutions. </span><span>In
linear algebra, </span>Cramer's rule<span> is
an explicit formula for the solution of a system of linear equations with as
many equations as unknowns, valid whenever the system has a unique solution.</span>
I am hoping that this answer has satisfied your query and it will be
able to help you in your endeavor, and if you would like, feel free to ask
another question.
