Inverse Matrix Calculator

Math Tool

Inverse Matrix Calculator

Calculate the inverse of a 2x2 matrix using the determinant and adjugate formula.

Main Calculator

Matrix A
Determinant = -2.
Inverse Matrix
-2.0000
1.0000
1.5000
-0.5000

Validation

All four cells must contain finite numbers. The determinant must be nonzero before an inverse can exist.

Worked Example

[[4, 7], [2, 6]] has determinant 10 and inverse [[0.6, -0.7], [-0.2, 0.4]].

Formula

A^-1 = (1 / det(A)) * adj(A)
det([[a, b], [c, d]]) = ad - bc

Frequently Asked Questions

What if the determinant is 0?

The matrix is singular, so no inverse exists.

Can I use decimals?

Yes. The calculator accepts finite decimal entries and formats the inverse to four places.

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