This paper provides necessary and sufficient conditions for a subspace of matrices to contain a dense set of matrices having distinct eigenvalues. A well-known and useful result in linear algebra is ...

Let A be a complex diagonalizable matrix with two distinct nonzero eigenvalues λ and μ, the Yang-Baxter-like matrix equation AXA = XAX is reconsidered. We correct and improve the results in Shen et al ...