Quickly find the inverse of any square matrix online. Our Matrix Inverse Calculator determines the inverse matrix, its determinant, and the adjoint matrix for 2x2, 3x3, and larger dimensions, simplifying complex linear algebra problems instantly. Get accurate results for academic or professional use.
Formula:
The inverse of a square matrix A, denoted as A⁻¹, exists if and only if its determinant (det(A)) is non-zero. The formula for the inverse matrix is:
A⁻¹ = (1 / det(A)) × adj(A)
- A⁻¹: The inverse matrix.
- det(A): The determinant of matrix A.
- adj(A): The adjoint (or adjugate) of matrix A, which is the transpose of its cofactor matrix.
This calculator handles these complex calculations automatically.