Math Playground
Algebra

Matrix inverse

The matrix that undoes another — like 1/x but for matrices.

The inverse of A is the matrix A⁻¹ such that AA⁻¹ = I. Like 1/x for matrices.

2×2 inverse
[a b; c d]⁻¹ = (1/(ad−bc)) [d −b; −c a]

If determinant = 0, the matrix has no inverse — it's singular.