I was wondering if there is a generalization of this theorem from finite numbers to cardinal numbers.
More specifically, let be a field and , be vector-spaces over .
Let the dimension of .
Let be a linear transformation then is ?
I was wondering if there is a generalization of this theorem from finite numbers to cardinal numbers.
More specifically, let be a field and , be vector-spaces over .
Let the dimension of .
Let be a linear transformation then is ?