Please send the solution to the problem given in the attachment.

Noo u,v are not supposed to be different in this case ,you have to take the elements ,if there are many elements you can take differently but here 0 is the only element soo you can...

{0} is subspace for all Vectorspaces ,it is called Improper subspace nd Trivial subspace , for checking take 0+0 like this every element for checking is 0

Refer attached

{0} and V both are called trivial subspace of vector space V . if W={0} then it is full fill all three conditions which is here mentioned 1. 0€V hence 0€W 2. u=0 , v=0 hence 0+0 ...