Homomorphism space/Evaluation at a vector/Linear/Exercise
Let be a field, and let and be -vector spaces. Let be the -vector space of all linear mappings from to , and let denote a fixed vector. Show that the mapping
is -linear.
Let be a field, and let and be -vector spaces. Let be the -vector space of all linear mappings from to , and let denote a fixed vector. Show that the mapping
is -linear.