Linear Algebra
Advanced

Determinant (3×3)

Determinant of a 3×3 matrix by cofactor expansion.

Formula

det⁡=a(ei−fh)−b(di−fg)+c(dh−eg)\det = a(ei-fh) - b(di-fg) + c(dh-eg)

Variables

a..iMatrix entries

Example

Expands along the first row

Did You Know?

A 3×3 determinant gives the signed volume of the parallelepiped formed by its three column vectors.

matrixdeterminant