Inverse Matrix Calculator

Compute the inverse of a 2x2 or 3x3 matrix. For singular matrices, the calculator reports that no inverse exists.

Enter Values

Matrix Size

a11

a12

a13 (3x3)

a21

a22

a23 (3x3)

a31 (3x3)

a32 (3x3)

a33 (3x3)

Enter values above and click Calculate to see your result.

AI Assistant

Ask about this calculator

I can help you understand the inverse matrix calculator formula, interpret your results, and answer follow-up questions.

Try asking

A^{-1} = adj(A) / det(A) when det(A) ≠ 0

The inverse exists only when the determinant is nonzero. For 2x2 the formula is direct. For 3x3 this tool uses the adjugate and determinant method.

Select size 2, enter [[1, 2], [3, 4]]. The calculator returns the inverse matrix values.

An inverse exists only if the determinant is not zero.

Singular means det(A) equals zero, so the matrix is not invertible.

AI Assistant

Ask about this calculator

I can help you understand the inverse matrix calculator formula, interpret your results, and answer follow-up questions.

Try asking

Plot 2D functions and algebraic equations.

Graph and shade mathematical inequalities.

Visualize and calculate function transformations.

Convert quadratics to vertex form step by step.

Accurate and Reliable

All calculations run locally. Solve equations with confidence using AI-verified methods.