Server To Server Password less connectivity setup

Server To Server Password less connectivity setup
Here I have below two server

First Server :-192.168.2.100
Second Server :-192.168.2.101

I need password less connectivity from "First Server" to "Second Server".

Login to First Server (192.168.2.100) and perform below steps

Step 1: Create Authentication SSH-Kegen Keys on First Server

ssh-keygen -t rsa

Step 2: Create .ssh Directory on Second Server from First server

ssh user@192.168.2.101 mkdir -p .ssh

Step 3: Upload Generated Public Keys on Second Server from First Server

cat .ssh/id_rsa.pub | ssh user@192.168.2.101 'cat >> .ssh/authorized_keys'

Step 4: Set Permissions on Key File on Second Server from First Server

ssh user@192.168.2.101 "chmod 700 .ssh; chmod 640 .ssh/authorized_keys"