For a 2-variable system with the working shown differently, see the System of Equations Solver (Cramer's rule).
Solve Ax = b for a square matrix A and vector b, with every row-reduction step shown. Detects unique, no-solution, and infinite-solution cases. Exact fractions, no rounding. Dimensions up to 6×6.
For a 2-variable system with the working shown differently, see the System of Equations Solver (Cramer's rule).
Enter the entries of the square matrix A and the vector b — whole numbers, decimals, and fractions like 1/2 are all accepted.
Pick a size from 1×1 to 6×6. A must be square to solve Ax = b, and b automatically matches the number of rows in A.
Type a value into each cell of A and each entry of b. The result updates as you type, and every value is kept as an exact fraction rather than a rounded decimal.
If a unique solution exists, x1 through xn appear first. Otherwise the calculator reports no solution or infinitely many solutions, followed by every row operation applied to the augmented matrix [A|b].