We have the values of a linear map from a vector space $L_{1}$ to a vector space $L_{2}$ on basis B of the vector space $L_{1}$. One of these 5 statements is true, all the others are false. Which one is it?
a) It is possible to calculate a kernel of the linear map but outside of kernel we don't know the values of the linear map.
b) Values of the linear map are determined for the whole domain of definition of $L_{1}$.
c) We don't have enough information to calculate the value of the linear map of any point of $L_{1}$.
d) Values of the linear map on the whole $L_{1}$ are determined only if the linear map is an isomorphism.
e) If the linear map is not an injection, values of the linear map on the whole $L_{1}$ are not determined.