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

[answerhappygod]

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 1 (20.82 KiB) Viewed 37 times

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).