Solve 3 by 3 System Using Inverse Matrix - Calculators






Solve 3 by 3 System Using Inverse Matrix - Calculators


This calculator solves a 3 by 3 system of equations using the method of the inverse matrix.
The system of equations is written as

A X = K

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.


A X = K

x    +    y    +       z =

x    +    y    +       z =

x    +    y    +       z =



Solution

X = A-1 K


x =        =

y = =

z =        =
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