1. if you want non-root user to be able to run those rpm cmds, you'll want them IN the rpm group.
open("/var/lib/rpm/__db.001", O_RDWR) = -1 EACCES (Permission denied)
2. The above may also be the cause of
.... libm.so.6.1 ... No such file or directory
... libc.mo ... No such file or directory
OR they really don't exist ie are not installed