Where can I find how long ago specific files, folders, and commands were updated?

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Welcome to ask.fedora. The command ls -l $FILENAME will tell you the last time a file was modified. Using chroot as an example, the command ls -l /usr/sbin/chroot would either tell you when the program was updated or, if it's never been updated, when the file was installed. Or, of course, you can always find the executable in your file manager, right-click and examine the properties, which is probably the easiest way to get the modification date for a folder.