3×3 Determinant Calculator

About this calculator

This calculator finds the determinant of a 3×3 matrix using cofactor expansion (equivalent to the rule of Sarrus), combining products of the entries along diagonals to produce a single scalar value.

The determinant tells you whether a matrix can be inverted — a determinant of zero means it can't — and its magnitude represents how much a linear transformation scales area or volume. Engineering and computer graphics students use it to check system solvability, and it's a routine step in linear algebra coursework and 3D transformation math.