I have the following equation to solve, $g(x) = x^t W_i x + {W_i}^t x + v_{i_0}$
In this equation why the need to use a $x^t$ and $x$? I feel $x$ and transpose of it both are the same ($x$ is a row vector with two values)
Additionally, when you have such a situation and when $w_i$ is another column vector with two components how can I solve it with the inner products given?
Imagine a situation where
$x = (x_1, x_2)$ and $W_1 = \binom{6}{3}$
Maybe my question sounds dumb, but I am very new to linear algebra, sorry about that.
Any help is deeply appreciated.