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Khoa Vat Ly T€n hec phdn: OAf SO 2 (tenz)
Thoi gian: 60 phft Ndm hgc: 2007 - 2008
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a) Tim tri ri6ng vd vecto ri6ng tuong ring cua ma trfln A Ma tr6n A'c6
ch6o h6a dugc kh6ng?
b) Cho .f (x) = (r - l)'*' Tinh f (A)
Biri 2: (3 <ti6m) NhQn d4ng vd bi€u di6n duong bQrc 2 c6 phuong trinh:
5 x2 + 26xy + s y' - l+Jl .x ;2J1.y- 86 = 0
trong hQ tga dQ vudng g6c Oxy
Bii 3: (3 diCm)
a) Bi€u di€n midn tne tictr f Ui'eiOi han bdi mat cAu (C):
x' + y' + 22 =3n2, rir6t hyperboloid (H): *' + y' - z' =R2 6lhAn
'-z>0).
!€6-*&r-!** b)"Jir+,phrru+rg trinh cria hinh chi6u'(T) tr€n m{t phing€xy cta giao tuy6n
criam{t (H) vbi m{tphing'(P): x +2y- z =0.Eudng cong (t) ld
dudng gi trong mpt phing 6*t?
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Ghi cht: Sinh vi1n kh6ng duqc s* dpng.tdi li€u
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