Answer
True
Work Step by Step
If $A$ is an $n \times n$ matrix with no cycles of generalized
eigenvectors of length $p \geq 2$, Jordan canonical form of $A$ is diagonal matrix. Hence, $A$ is diagonalizable.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 7 - Eigenvalues and Eigenvectors - 7.6 Jordan Canonical Forms - True-False Review - Page 486: j
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