This is a novice question I guess. Linear-fractional functions are defined as: $f(x) = (Ax + b) / (c^Tx + d)$ where, $dom f = \{ x|c^Tx + d > 0 \}$.
Although I understand the definition here, but I cant differentiate between $A$ and $c^T$. Since they are both matrix, why are they written in different style? Can someone provide any simple example of this?