Matrix Adjugate Calculator

Summary

Enter a 2x2 or 3x3 matrix and instantly get its adjugate (classical adjoint), cofactor matrix, and step-by-step working.

How it works

1. Select the matrix size — 2x2 or 3x3.
2. Enter the matrix entries in the grid.
3. Click Compute to calculate the adjugate.
4. The tool displays each cofactor C(i,j) with its minor determinant.
5. The cofactor matrix is transposed to produce the adjugate.
6. Use Reset to clear all entries and start again.

Use cases

• Computing matrix inverses without a computer algebra system.
• Verifying hand-worked cofactor and adjugate calculations.
• Studying linear algebra — seeing each cofactor step-by-step.
• Solving systems of linear equations via Cramer's rule.
• Engineering and physics calculations involving matrix inverses.
• Checking textbook adjugate examples instantly.

Frequently Asked Questions