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 ...

The 2x2 matrix is about as simple as a chart can be: Just take two factors that have some relationship with one another, assign one the horizontal axis and the other the vertical axis.