2016华南理工大学考研真题864_高等代数.pdf
864uHn2016ca )3K7LK8p;:, A, O, VnO, $21. (15) f(x)g(x)Pgu1.y: (f(x);g(x) = 1 =3u(x);v(x) 2 Px u(x)f(x) + v(x)g(x) = 1, p(u(x) :(3 2 )x1 + (2 )x2 + x3 = ;(2 )x1 + (2 )x2 + x3 = 1;x1 + x2 + (2 )x3 = 1:6. (15) A=0BBBBBB2 1 1 03 1 2 00 1 1 13 0 4 11CCCCCCA, A2016.7. (20) V = Rnx, ef(x) = Pni=0aixi, g(x) = Pni=0bixi 2V,5S(f(x);g(x) = Pni=0aibi, KVm. -W =ff(x)2Vjf(1) = 0g:(1) yWV fm, |IO;(2) W?|IO.8. (20) R25CA3“1 = (1;2), “2 = (2;1)e0 1 22 31A, 5CB3 1 = (1;1); 2 = (1;2)e 0 3 32 41A.(1) A +B3 1; 2e ;(2) AB3“1;“2e ;(3) = (3;3), A 3“1;“2eI;(4) B 3 1; 2eI.9. (15)A;Bn , vjAj+jBj= 0. y: jA+Bj= 0.12