I have the following matrix multiplication
$$ \left(\begin{matrix} -3&2 \\ 5&-3 \\ \end{matrix}\right)^{-1} \cdot\left(\begin{matrix} 1&4&0 \\ 1 & 1&-2 \\ \end{matrix}\right)\cdot\left[\left(\begin{matrix} 1 \\ 4\\3 \end{matrix}\right)\wedge\left(\begin{matrix} 5 \\ 2\\-1 \end{matrix}\right)\right]$$
For the inverse I get:
$$\left(\begin{matrix} 3 & 5 \\ 2 & 3 \end{matrix}\right)$$
And the cross product leaves me with:
$$\left(\begin{matrix} -10 \\ 16\\-18 \end{matrix}\right)$$
Now it should look like the following:
$$\left(\begin{matrix} 3 & 5 \\ 2 & 3 \end{matrix}\right)\cdot \left(\begin{matrix} 1&4&0 \\ 1 & 1&-2 \end{matrix}\right)\cdot \left(\begin{matrix} -10 \\16 \\-18 \end{matrix}\right)$$
This is my current thinking but I have to be making an error since I'm getting the wrong answer.
Hopefuly showing step-by-step helps identifying my error.
Thank you in advance!