Given a system
, a unique solution
exists
is invertible. This solution can be found using the following rule:
where
is the matrix
with the
th column replaced by the constant vector
.
Excercise 5-2. Solve the following system using Cramer's rule:
The system can be written in the following matrix form:
Thus, the required determinants are given by the following:
The solutions are given by the following: