Answer
$GF\text{ exists}$
Work Step by Step
The $row\times column$ dimension of matrix $G$ is $2\times2,$ while matrix $F$ is $2\times2$. Since the column dimension of $G$ (equal to $2$) is equal to the row dimension of matrix $F$ (equal to $2$), then the matrix product $
GF\text{ exists}
.$
