Math

Matrix Inverse Calculator

Find the inverse of a square matrix and identify singular matrices using row reduction.

Formula / method

A⁻¹ satisfies AA⁻¹ = I when det(A) ≠ 0.

How to use

Use the stated mathematical relationship and keep signs, units and order of operations consistent.

What this calculator answers

The Matrix Inverse Calculator uses the requested values to calculate the requested result. The core method is A⁻¹ satisfies AA⁻¹ = I when det(A) ≠ 0.. This makes the assumptions visible so you can check whether the inputs match your situation.

How to get a useful result

Use the stated mathematical relationship and keep signs, units and order of operations consistent.

How to interpret it

The result is a mathematical value based only on the numbers entered; check domain restrictions such as division by zero, roots and logarithms.

Before relying on the number

Recheck unusual inputs, confirm units and compare the result with any official quote, statement, specification or rule that applies to the real decision. Small changes in rates, time periods or measurements can materially change some results.