Question in computer scienceee

$($a$)$ Write Python code using Tensorflow Keras Library, for implementing the above.

$2$

$($b$)$ Compute the number of parameters learned in 'Conv$2\text{'}$ layer. Write the equations explicitly.

$[1]$

$($c$)$ Compute the output size after 'Pool $2\text{'}.$ Write the equations explicitly.

$[1]$

$($d$)$ Identify the activation function that can be used for the last layer and the optimizer to be used for learning the parameters.

$1$

$($e$)$ Compute the output when matrix I is convolved with filter $F$ and max pool is applied on the convolved result. Assume stride $=1$ for Convolution and $2$ for pooling.

$[2]$

$I=\left[\begin{array}{ccccc}13& 12& 14& 12& 13\\ 12& 13& 14& 14& 12\\ 12& 14& 13& 15& 14\\ 13& 12& 11& 12& 13\\ 12& 13& 12& 11& 12\end{array}\right],F=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$