---
tag: 0H1GN6P9R5
kind: concept
name: Fundamental matrix
msc: [34A30]
sources:
  - url: https://en.wikipedia.org/wiki/Fundamental_matrix_(linear_differential_equation)
    locator: lead section
same_as:
  wikidata: Q17014996
  wikipedia: Fundamental matrix (linear differential equation)
---

## Summary

A fundamental matrix of a homogeneous linear system $x' = A(t) x$ is a matrix function whose columns are $n$ linearly independent solutions.
It is the matrix form of a [[fundamental system of solutions|0DS2QFYJHE]]. See the [[definition|0MQ24RBG93]].