3×3 Matrix Determinant

Calculate a 3×3 matrix determinant by cofactor expansion.

How this calculator works

Enter a₁₁, a₁₂, a₁₃, a₂₁, a₂₂, a₂₃, a₃₁, a₃₂, a₃₃. CalcStack applies the displayed formula and reports each intermediate planning value with the units shown.

Formula / method

det(A) = a(ei−fh) − b(di−fg) + c(dh−eg)

Worked example

The default matrix has determinant 1.

Assumptions and limitations

Matrix elements are real numeric values.

For large or ill-conditioned matrices, numerically stable decomposition methods are preferable.