# Jacobian Matrix

> Source: https://sukruyusufkaya.com/en/glossary/jacobian-matrix
> Updated: 2026-05-13T21:00:57.855Z
> Type: glossary
> Category: derin-ogrenme
**TLDR:** A matrix representing the derivative structure of vector-valued functions and playing an important role in multidimensional backpropagation.

<p>The Jacobian matrix describes how a group of variables affects another group through derivatives, especially in intermediate layers with vector outputs. Although it is not always computed explicitly in deep learning, it is one of the core mathematical objects behind automatic differentiation systems. It is an important theoretical tool for understanding the gradient structure of complex layers.</p>