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.
How to use the calculator
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 coefficiensts of the system on the right side, then press enter.