ssh key based authentication

hello all,
need some help/pointers on the problem iam having
i have 3 solaris boxes say A,B,C

i want to ssh from A to B and A to C without being prompted for password.
So, i generated key in box A using
ssh-keygen -t rsa -N ""

so in ~user/.ssh dir i see id_rsa.pub. I ftp'ed this to machines B and C and
put them in ~user/.ssh dir as files authorized_keys2

now, login to machine A as user: user, and then ssh to machine C works, but
fails onmachine B (it prompts for user B).

dont see any diff in machine B and C, but somehow ssh (key based auth works
only for C). how can i debug this? appreciate any tips

ssh version:
OpenSSH_3.9p1, OpenSSL 0.9.7d 17 Mar 2004


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