The conversation between human and AI assistant.
Prove that the eigenvalues of an upper triangular matrix M are the diagonal entries of M?
Okay, that makes sense. Can you give an example of an upper triangular matrix and its eigenvalues?
Sure, consider the matrix M = [1 2 3; 0 4 5; 0 0 6]. The diagonal entries of M are 1, 4, and 6, which are also the eigenvalues of M.