Question: (I kindly request assistance in solving the following two problems. A thorough explanation of the solutions would be immensely valuable. I appreciate your time and

(I kindly request assistance in solving the following two problems. A thorough explanation of the solutions would be immensely valuable. I appreciate your time and expertise.)

1. Show that the following set is a subspace of R4. H={v=(xyzw)TR4(xy)2=(z+w)2} 2. Find a basis and compute the dimension for the subspace H given in problem 1

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