# Inverse matrix calculator

This online calculator finds inverse matrix via adjugate matrix

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Created: 2011-03-28 12:56:34, Last updated: 2021-02-26 13:46:49 This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/1239/. Also, please do not modify any references to the original work (if any) contained in this content.

The calculator below computes the inverse matrix via the Gauss-Jordan algorithm. You can find theory and formulas under the calculator. #### Inverse of a matrix

Digits after the decimal point: 2
Inverse of a matrix

The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix such that

For manual calculation you can use adjugate matrix to compute matrix inverse like this:

Adjugate matrix is the transpose of the cofactor matrix of A.

Cofactor of of A is defined as

where is a minor of .

You can use this method relatively easily for small matrices, 2x2, 3x3, or, maybe, 4x4. For bigger matrices, it is easier to use the Gauss-Jordan algorithm implemented by the calculator.

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PLANETCALC, Inverse matrix calculator