$5(25$ points$)$ Given a binary region and a structuring element $($SE$),$

a$)$ Apply dilation, erosion, opening, and morphological gradient $($you should tell how to get it$).$

b$)$ I want the big hole in the image to be removed. Also, I want to have the same size as the bounding box for the image. Suggest me a way of using morphological operators and applying it$.$

$\backslash$table$[[,-1,0,1],[-1,,,],[0,,0,*$