Solve matrix multiplication problem

Question

I am trying to solve this matrix multiplication:

$ \frac{1}{2}\bigl(x_1\ x_2\bigl) \biggl( \begin{matrix} 3 & 1 \\ 1 & 2 \\ \end{matrix} \biggl) \biggl( \begin{matrix} x_1 \\ x_2 \\ \end{matrix} \biggl)$

I got the following answer. Is this correct?

$ {2x_1}^2 + \frac{3}{2}\ {x_2}^2$

Answer 1

I get $\frac{3}{2}x_1^2 + x_1x_2 + \frac{1}{2}x_2^2$.