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Cramer's Rule Calculator

To solve the linear equations, input the values of variables in the Cramer’s rule calculator.

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This Cramer’s rule solver can solve equations whether they are 2×2, 3×3, or 4×4matrices.  You can see the step-by-step process of calculating the values of variables.

What is Cramer’s rule?

Cramer’s rule is a method of finding values of variables of linear equations with matrices. It utilizes determinants in the formula to compute results.

Cramer's rule applies to the case where the coefficient determinant is nonzero.

How to solve equations with Cramer's Rule - 2×2 matrix

Consider two linear equations as:

crammer's rule

Making matrices.

solve matrices

Find determinants of all matrices.

i.e.   D, Dx, Dy

Determinant of x:

 X = Dx/D

 Determinant of y:    

 Y = Dy/D

Similarly, determinants of 3 by 3 and 4 by 4 matrices are calculated to solve 3 and 4 linear equations respectively.

X