如果我想以相反的方式通过ssh连接,是否必须创建一个新的私有公钥?

I have a ssh configuration to connect to my VPS from my localhost, but I want to send backups from my VPS to my localhost, and I need ssh authentication. I'm going through this instructions: SSH/Community Ubuntu and SSHKeys/Community Ubuntu , but I don't know if new keys must be generated to connect in the opposite way.