diagonally dominant matrix

Let $A$ be a square matrix of order $n$ with entries $a_{ij}$which are real or complex.Then $A$ is said to be diagonally dominant if

$$|a_{ii}|\ge \sum _{j=1,j\ne i}^n|a_{ij}|$$

for $i$ from $1$ to $n$.
In addition $A$ is said to be strictly diagonally dominant if

$$|a_{ii}|>\sum _{j=1,j\ne i}^n|a_{ij}|$$

for $i$ from $1$ to $n$.