Matrix
Matrix Inverse Calculator
Find the inverse of 2x2, 3x3, and larger matrices. Calculate the inverse of a square matrix using the adjugate method or Gaussian elimination with step-by-step matrix row operations.
Coming Soon
This solver is currently being built. Check back soon for the full interactive experience.
Share & Embed
Share your exact result or embed this tool.
Solution Methodology
01
Enter Matrix Elements
Input the values of your square matrix.
02
Calculate Determinant
Verify that the determinant is non-zero so the inverse exists.
03
Perform Row Operations
Use Gauss-Jordan elimination on an augmented matrix to find the inverse.
Common Questions
How do you find the inverse of a 2x2 matrix?
For a 2x2 matrix [[a, b], [c, d]], swap a and d, change the signs of b and c, and divide everything by the determinant (ad - bc).
When does a matrix not have an inverse?
A matrix does not have an inverse if its determinant is zero. Such matrices are called singular or non-invertible. Also, only square matrices (same number of rows and columns) can have an inverse.