Matrix Equation Solver

A matrix equation AX = B represents a system of linear equations in compact form. A is the coefficient matrix, X is the unknown vector, B is the result vector.

If the determinant is zero, the matrix is singular and has no inverse. The system either has no solution or infinitely many.

For a 2x2 matrix [[a,b],[c,d]], the determinant is ad - bc. A non-zero determinant means a unique solution exists.

This calculator only handles 2x2 matrix equations.

Graphically they are similar, but this calculator presents the problem in matrix form aligned with linear algebra.