During learning linear algebra, I have met at least three items (kind of action in my own word): function, mapping and transformation. What are the relation and difference among them?(adsbygoogle = window.adsbygoogle || []).push({});

e.g. Given y=f(x), we can say f map x to y, f transform x to y and the function of x is y.

In saying the function of x is y, we sometimes also say y is a function of x. And in this case, we can also write y=y(x). In y=y(x), the second y is actually the action of the function. I get a little confused by the expression y=y(x). But there seems no confusion when using "mapping" instead of function. Is this why you choose " mapping" etc in learning further mathematics...?

Thanks

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# Function vs mapping vs transformation

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