Matrix Calculator

With the row-times-column rule: each entry of A × B is the dot product of a row of A with a column of B. That's why multiplication is not commutative — AB and BA usually differ.

Its determinant is 0, so it has no inverse — like trying to divide by zero. Geometrically, a singular matrix squashes space flat (a 2D matrix collapsing an area to a line), so the squashing can't be undone.

With Gauss-Jordan elimination on the augmented matrix [A | I]: row operations turn the left half into the identity, and the right half becomes A⁻¹. Partial pivoting keeps the arithmetic stable.

It covers the sizes students and homework meet (2×2, 3×3, and 4×4 for 3D graphics transforms) while keeping the editable grids compact and readable on a phone.

No. Every operation runs in your browser — nothing is sent to a server or stored.