Đề thi môn: Đại số 2 - 2 doc

i ? € .: " ".* .fITLfUi.JG DHSP TP. HCfuI Ee thi chinh thri'c c3& I{oc phin : E4i so z )5, 4+ut 6a- A,u Hc-,c kj 2. ndm hoc 2005 -2006 4 0 Lcrp Cu nhdn vdt l1i Bai l: Tht:i gian: 6o phut Nhdn dang ciutmg bic hai sau: .ri -g.r,r, +7xl =g Bai 2: a) chirnu minh ky hi€u delta Kronecker d1 la mot renNo hon lrop hang 3. b) Xdc clinh tenxo inetric trons roa d6 ciu. Bai 3: a) Trdn g: R3: (i =(1,0.0),i =(0.1.0),f =(0,0,1)) cho moc Lie [ ] la rich co hucrng rhdng thucrng : [t,i] = k.fj,kf= i,[A,i]= 7. Chung ininh f la rndt d+i sd Lie 3-chidu. b) Bai 4: a) b) Einh nghla bi€u di6n tuy6n tinh cua 1 nhorn. N€u I vi du vd bieu di6n t*rng thanh cira nh6m SO(2). Liet ke tdt ca cdc dai sO Lie thuc Z-chidu. Cho / e L(3.R) la 6nh xa tuydn rinh ken R3 co ma rrdn bi6u clien ln f:ool o=i' t u l. Fliyxac dinh matrdn cta6nh xaexponenr cira/ Ll I 2l .:+*i.&,:.# a.,. . ".* .fITLfUi.JG DHSP TP. HCfuI Ee thi chinh thri'c c3& I{oc phin : E4i so z )5, 4+ut 6a- A,u Hc-,c kj 2. ndm hoc 20 05 -2 0 06 4 0 Lcrp Cu nhdn vdt l1i Bai l:. 3-chidu. b) Bai 4: a) b) Einh nghla bi€u di6n tuy6n tinh cua 1 nhorn. N€u I vi du vd bieu di6n t*rng thanh cira nh6m SO (2) . Liet ke tdt ca cdc dai sO Lie thuc Z-chidu. Cho. nhdn vdt l1i Bai l: Tht:i gian: 6o phut Nhdn dang ciutmg bic hai sau: .ri -g.r,r, +7xl =g Bai 2: a) chirnu minh ky hi€u delta Kronecker d1 la mot renNo hon lrop hang 3. b)