Solve the system of Linear equation using Mathcalcs' Cramer's Rule Calculator. Enter the coefficients of the variables and the constants in the input fields and click on the "Calculate" button to get the result.
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To use this cramer's rule calculator, follow the steps below:
The first column of the matrix is the coefficients of the variable x1, the second column is the coefficients of the variable x2 and so on
The calculator will give the value of the variables in the system of linear equations.
Cramer's rule is a mathematical theorem that provides way to solve the system of linear equations using determinants of the matrix formed by the coefficients of the variables and the constants.
The cramer's rule works only for square matrix, which means the number of equations should be equal to the number of variables.
Also the rows or columns of the matrix should be linearly independent.
The formula to solve the system of linear equations using Cramer's rule is given below:
\(x1 = det(A1) / det(A) -- (1)
\)
\(x2 = det(A2) / det(A) -- (2)
\)
\(x3 = det(A3) / det(A) -- (3)
\)
\(...
xn = det(An) / det(A) -- (n)
\)
Where:
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