That's a very broad question. And you have given no context at all!
Please read this first: https://www.physicsforums.com/blog.php?b=3588
Do some research on the topic. Read wikipedia. Read your textbook. Think a bit about it. If you have specific questions after that, feel free to repost.
Mathematical operations, in general, do not have specific "geometric" or "physical" meanings. They may have meaning in a given "application" to geometry or physics.