0

I was thinking about the following problem

$V$ is a vector space over a field $K$ and $E$ is a vector space over a field $F$. Is it possible to define a linear mapping from $V$ to $E$ ?

I was thinking about this because I wanted to show that a linear application verifies the following property:

$L(0_{V})=0_{E}$

but I was stuck since I didn't have more information about the fields considered on the starting and ending vector space.

Thank you a lot !

coboy
  • 1,339
  • 1
    Have a look at this https://math.stackexchange.com/questions/1649344/linear-transformations-between-vector-spaces-over-different-fields – T.P. Nov 30 '22 at 21:38
  • 1
    See also https://math.stackexchange.com/questions/1748905/can-you-define-linear-maps-between-vector-spaces-over-different-fields – lhf Nov 30 '22 at 21:45

0 Answers0