Fundamental Matrix

#incomplete

A fundamental matrix is a matrix of solutions to a linear system of differential equations.

Given a homogeneous system:

the matrix is a fundamental matrix if:

1. Each column of solves the homogenous equation (the one listed above?)
2. for all in

Double Check: The fundamental matrix is made from the eigenpairs of the system:

Where is the eigenvalue and is the eigenvector.

See How to find Solutions Part1 Calculations for more information (from week 6 of diffeq).