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(6 pts) 3. Prove whether or not the set of ordered pairs of the form (w ) is a subspace of R. (6 pts) 4. Prove whether or no
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//. solution:- NOW, Let, T be the subset of 1R² defined by T= 3 (USU): UER} het, X, BET Then, 7 , VER such that 1 xa(u,u?) &hetg 3 T be T be the subset of Pq & de fired bil, T= { a+03+022; AC AM] Now , Let, coat het, daatontana & Babtoon&bar Then, dsalution :- () را ر 3 , 571 را) ) ,( 1 , 1 , 14 3- , ) ده ولها | ( وار 2 , 2 ,1) = 82 3 , 5 (ا, 83 = (1,1,14, -3) Letus consi. we see that, ei aeg & C22-3e3 satisties W, 6. It, we take 13-1 Thin, e, al & e2=-3 Then from o 21-322 +43 = 0 Therefore, Qisolution : hela و رورارو ) , ( 1 , 271) =3 (۱, 1 , 2) ده رية امرار 3 ) » . ۱ ر ره ز 2 + 18ع = (3) spen * ا= 2 & ادم رعاع و عل

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