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so i was looking up the defintion of linear mapping and mapping in general and i have seen the technical defintion a few times but i was wondering if someone would mind explaining it to me in more general english. How would you explain it instead of just pointing out the definition?

What i have gotten so far is that it is an operation performed to transfer(not sure if i'm using this word in the correct mathematical sense) an equation to another vector space.

please correct me if I'm wrong thanks.