Chapter 9 - Systems of Differential Equations - 9.3 General Results for First-Order Linear Differential Systems - True-False Review - Page 598: c

True

A fundamental solution set to a vector differential equation $x′ = Ax$ is a set containing $n$ linear independent solutions to the equation. From Theorem 7.3.2 we have the solution set for $x'=Ax$ is a vector space of dimension $n$ which forms a spanning set for the vector space of all solutions to $x′ = Ax$.