You seem to be using a lot of concepts that haven't been presented to me yet. I don't know what you mean by "bijective", linear map", "extend", "isomorphism", or the fundamental theorem of linear algebra, for example. Could you give me a short explanation of what those mean so that I can...
There's also this chicken-and-egg problem, because the very fact that your mate is attractive says a lot about the likelihood that your offspring will themselves manage to successfully acquire mates and produce their own offspring. So in a sense, their being attractive - whatever that means in...
I'm interested in learning how to solve a relatively general sort of problem that comes up a lot in my problem sets and will presumably come up in future exams.
I'm asked to give an example of a matrix or linear transformation that has a given image or kernel.
Here are some examples...