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10. (a) Find a basis for the subspace S in R* equal to all solutions of xy + x2 + I3 - 34 = 0. (b) Find a basis for the ortho
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Answer #1

Ans. lo la) Bap8 for the subopace SMIR equel - to all solution & of the frez-ky a & nyc se trat rez SO (hine, ali sel = (41,- Bagig for st={(-1,-1,-1,193 - Let 5 we have to such that me unite 5 - (1,1,1,1) = (1 ) fired bi ES by the = 5 & bo est C 60

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Answer #2

Hit tuz - Hq = 0 ni tugth = 24 To find basis but Hico e Mazo z Hiro = 1 120 0 0 m= 1 Hiro ng=0 t o Sop basis of set s = ro-+ b *87-6 009 0 - 0 - RAAR - - - Rz y Rg - R, Lo 1 0 R 1 Rz-Ra 0-0-0RA → Rq - R3 o 0 0 -4 d. az -36=-1 az + 3%=1 to ag+b=1 a ==1 a+b=1 a = 1 + 3 = 3/2 lofo O - - -

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