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SELECT a.Name AS DatabaseName,COALESCE(CONVERT(VARCHAR(12),MAX(b.backup_finish_date),101),'Not Yet Taken') AS LastBackUpDate,COALESCE(CONVERT(VARCHAR(12),MAX(b.user_name),101),'NA') AS TakenBy
FROM
sys.sysdatabases a
LEFT OUTER JOIN
msdb.dbo.backupset b
ON b.database_name=a.name
GROUP BY a.Name
ORDER BY a.Name