Solving System of Equations Using Cramer's Rule


The Cramer's Rule is a another method of solving systems of linear equations using determinants. the Cramer's rule is applicable for square matrix and the system must have the same number of equations as variables. It is also important that the determinant of the coefficient matrix must be non-zero.
1. We write the coefficient matrix of the system say matrix A.
2. Now compute the determinant of the coefficient matrix.
3. Let’s consider 1st variable as x and 2nd variable as y. so we can write matrix Ax and Ay.
     We will derive the determinant of Ax and Ay. which are |Ax| and |Ay|
4. Therefore value of x and y will be as follows
x = |Ax|/|A|
y = |Ay|/|A|
A: B: =
=
E:
C: D: F: