Cramer's Rule Calculator for 2x2 Systems
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Calculator
The Cramer's Rule is an efficient method for solving systems of linear equations using determinants. It is specifically designed for square matrices where the determinant of the coefficient matrix is 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|
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|
Example
Suppose you have entered following equation as A=4, B=4 E=41 and C=44, D=55, F=6
Let’s consider 1st variable as x and 2nd variable as y.
(4)x + (4)y = 41
(44)x + (55)y = 6
The calculator computes the X,Y values as follows:
X = 50.70454545454545
Y = -40.45454545454545