The calculator computes step-by-step the inverse matrix of a NxN matrix with the Gauss-Jordan method and via the adjugate matrix.

$A=\left(\begin{array}{cccc}{a}_{11}& {a}_{12}& \dots & {a}_{1N}\\ {a}_{21}& {a}_{22}& \dots & {a}_{2N}\\ & \vdots \\ {a}_{N1}& {a}_{N2}& \dots & {a}_{NN}\end{array}\right)$

Note:

The computer does not verify the invertibility or the conditioning of the matrix. A valid result is when the last computation step has the identity matrix on the left. Otherwise, can possibly a valid result produced by interchanging rows or columns.

Enter the matrix elements for matrix A: a_{1,1}, a_{1,2}, ...

The entered matrix is:

The inverse matrix is:

The entered matrix is:

The cofactor matrix is:

The adjugate matrix is the transpose of the cofactor matrix:

The inverse matrix is:

Here is a list of of further useful matrix calculators:

Index Matrix Determinant Sum and dif of MxN matrices Solver Adjugate matrix Matrix multiplication QR decomposition