please solve correctly $1$ Theory

$(4$pts$)$ Apply kernel $K$ to data $x($via cross$-$correlation$)$ with no padding. In other words, what

is $x***K?$ :

$x=\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]K=\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$

Given the feature map filter output, $F=\left[\begin{array}{cccccc}1& 2& 3& 4& 1& 3\\ 4& 5& 6& 0& 0& 12\\ 7& 8& 9& 1& 0& 4\\ -100& -100& -100& -100& -100& -100\end{array}\right],$ what is

the output from a pooling layer with width of $2$ and stride of $2$ if we are using:

$(3$pts$)$ Max$-$Pooling?

$(3$pts$)$ Mean$-$Pooling?