Question: Provide details for the proofs of Theorem.
Theorem: (a) All solutions of system (5.14.5) tend to zero as j → ∞ if and only if all eigenvalues of C have norm less than one.
(b) All solutions of system (5.14.5) are bounded if and only if all eigenvalues of C have norm less than or equal to one, and for those eigenvalues with norm one, the geometric multiplicity coincides with the algebraic multiplicity.