Exercise 1.6.4. Consider a linear map L: V+W and its dual map L* :W* V*. Prove the following. 1. Ker(L*) is exactly the
Posted: Mon May 09, 2022 11:07 am
Exercise 1.6.4. Consider a linear map L: V+W and its dual map L* :W* V*. Prove the following. 1. Ker(L*) is exactly the collection of dual vectors in W* that kills Ran(L). 2. Ran(L*) is exactly the collection of dual vectors in V* that kills Ker(L).