Exact rational linear algebra
Matrix Inverse Calculator
Use augmented-matrix elimination to compute inverses exactly, even when entries begin as decimals.
Matrix A
3 x 3
Matrix B
3 x 3
Basic
Square Matrix
Row Reduction
How it works
- The calculator augments your matrix with the identity matrix.
- It row-reduces [A | I] into [I | A^-1] using exact fraction arithmetic.
- If a required pivot is zero, it explains that the matrix is singular.
Common mistakes
- Trying to invert a non-square matrix.
- Expecting a singular matrix to have an inverse.
- Typing invalid fraction syntax like 1//2.
FAQ
What if the matrix is singular?
You will get a clear message that the inverse does not exist.
Can I see row operations?
Yes. Turn on step mode to review each elimination step.