# Inverse Matrix

> Source: https://sukruyusufkaya.com/en/glossary/ters-matris
> Updated: 2026-05-13T21:00:28.907Z
> Type: glossary
> Category: matematik-istatistik-optimizasyon
**TLDR:** A matrix that reverses a linear transformation and is defined only for full-rank matrices.

<p>An inverse matrix is the structure that allows a linear transformation to be reversed. If a matrix has an inverse, then the transformation preserves information and it is possible to recover the original space. Matrix inversion plays an important role in solving linear systems, optimization, statistical modeling, and control theory. In practice, however, explicitly computing an inverse is not always the best strategy due to numerical stability and computational cost. For that reason, the inverse matrix is theoretically powerful but must be handled carefully in applications.</p>