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Matrix Inverse Calculator

Invert a 2x2 or 3x3 square matrix and see every entry of the inverse.

Inverse of a matrix

Determinant: —
Inverse matrix:
—
The inverse is computed locally in your browser from the determinant and adjugate.

How to use the Matrix Inverse Calculator

  1. Choose the matrix size, 2x2 or 3x3.
  2. Enter every number of the matrix grid.
  3. Read the determinant and the inverse matrix below.

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Frequently Asked Questions

Common questions about the free online matrix inverse calculator.

Choose the size, enter every entry, and the inverse appears instantly. If the determinant is zero the tool says the matrix is singular.
Swap the two diagonal entries, negate the other two, then divide every entry by the determinant ad minus bc.
A matrix has no inverse when its determinant is zero, which means its rows or columns are linearly dependent.
Values are computed in double precision floating point and rounded to eight decimal places for display.
No. The whole calculation runs in your browser and nothing you type is sent anywhere.
Yes. The layout adapts to small screens and works in any modern browser on phone, tablet or desktop.
Yes. It is completely free, with no sign-up, no account and no limit on how many matrices you invert.
The inverse solves linear systems, undoes a linear transformation and appears in least squares fitting and graphics.

Last updated: October 10, 2026