# Dominant Matrices

#### Zashmar

##### New member
Can anyone explain to a year 11 student what a dominant matrix is exactly?
my text book is not making much sense, i understand basic matricies and how you times them and rearange equations.

Thank you so much

#### MarkFL

Staff member
Are you referring to diagonal dominance, and if so, is it row or column?

#### Zashmar

##### New member
Yes diagonally dominant, what does it mean

#### MarkFL

For the $n$th row, the magnitude of the entry in the $n$th column must be greater than or equal to the sum of the magnitudes of all other entries in that row.
$\displaystyle |a_{ii}|\ge\sum_{j\ne1}|a_{ij}|$ for all $i$.
where $a_{ij}$ denotes the entry in the $i$th row and $j$th column.