In lecture there was a question about the meaning of the range of a function (and whether it can be used interchangeably with the term "image"). According to Wikipedia, the range of a function is typically taken to mean the image (so yes, it's common to use them interchangeably), although some use it to mean the codomain (output set, i.e. the codomain in this slide is R^3) of a function.
coolbreeze
So the image of a linear map is sth like its 'codomain' and the image of a function is its domain?
In lecture there was a question about the meaning of the range of a function (and whether it can be used interchangeably with the term "image"). According to Wikipedia, the range of a function is typically taken to mean the image (so yes, it's common to use them interchangeably), although some use it to mean the codomain (output set, i.e. the codomain in this slide is R^3) of a function.
So the image of a linear map is sth like its 'codomain' and the image of a function is its domain?
Very interesting