Matrix Calculator

Multiply, invert, transpose and find eigenvalues with full double precision.

Math & convertMathLinear Algebra
Matrix Calculator screenshot
Matrix A

Enter real numbers, one per cell. All output is computed with full double precision — the inverse and eigenvalues use Gauss-Jordan elimination and the unshifted QR algorithm respectively.

Row reduction — every step PARTIAL PIVOTING

Gaussian elimination with partial pivoting: at each column the largest absolute value in that column is swapped into the pivot row, then the entries below the pivot are zeroed. The determinant is the sign of the swaps times the product of the diagonal of the final upper-triangular form; the rank is the number of pivots found. A zero pivot means the matrix is singular, so the determinant is 0 and no inverse exists.

Eigenvalues & eigenvectors
Solve A x = b
Full report

More tools