I logged in to AMI to apply for the use of MATLAB, but I can't apply for it because there is nothing in the Application for Use column.

The application required by AMI to use MATLAB is to apply for an "Gakunin" account.

Please follow the instructions below to download and install the software after you apply for Gakunin account
https://web.sic.shibaura-it.ac.jp/page_20191024062404

 If you have applied for a "Gakunin" account before and have forgotten your  Gakunin password, log in to AMI and change your password by clicking "Change Password→Gakunin" in the menu on the left.