I need help. Consider a matrix that has only one eigenvalue (say 3) but this value has algebraic multiplicity bigger than 1.

Is 3 the dominant eigenvalue of the matrix or not? When determining if there is dominant eigenvalue,

how do we "count" eigenvalues? As 3, 3 or just one 3?

Edit: Such a matrix can be for example:

| 3 1 |

| 0 3 |

Edit: The topic of the thread - "diagonally dominant eigenvalue" is a mistake and cannot be edited. Please disregard "diagonally"