Solve 3 by 3 System Using Inverse Matrix - Calculators
This calculator solves a 3 by 3 systems 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 \(
X =
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
\) in the system of equations, The solution is given by
\[ X = A^{-1}K \]
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 links
Solve Systems of Equations
The Inverse of a Square Matrix
Cramer's Rule to Solve Systems of Equations
Maths Calculators and Solvers.