Chapter 9 - Systems of Differential Equations - 9.5 Vector Differential Equations: Defective Coefficient Matrix - True-False Review - Page 619: b

True

The given statement is true because of the theorem 9.5.4 given in the textbook. "Suppose the eigenvalue $\lambda$ has multiplicity $m$ and that the dimension of the corresponding eigenspace is $r \leq m$. Then there exist $m$ linearly independent solutions to $x′ = Ax$ that can be constructed in r cycles."