The Probability that a Matrix of Integers Is Diagonalizable

Integer matrices offer a great deal of algebraic simplicity for particular problems. This, in turn, lets students focus on the concepts. But, of course, to insist on integer matrices exclusively would certainly give the wrong idea about many important concepts. Here, Hetzel et al focus on the property of diagonalizability for integer matrices and pose the question of the likelihood than an integer matrix is diagonalizable.