This calculator solves a 3 by 3 systems of equations using the method of the inverse matrix.
A X = K
The system of equations is written as
where A is a 3 by 3 matrix whose elements are the coefficients of the unknown x, y and z in the system of equations, X is the 3 by 1 matrix whose elements are the unknown x, y and z and K is the 3 by 1 matrix whose elements are the constant terms on the right side of the equations. The solution is given by
X = A-1K
where A-1 is the inverse matrix of matrix A.
Use the Calculator to Solve System
Enter the coefficients in the cells of the 3 by 3 matrix.(decimal, fraction of the form a/b and whole numbers as shown in the example below, are accepted), enter also the constant coefficients of the system on the right side, then press "Solve".
More References and linksSolve Systems of Equations
The Inverse of a Square Matrix
Cramer's Rule to Solve Systems of Equations
Maths Calculators and Solvers.