(A)多 (B)5(C-1(D) 6.设A= e9-ga-()-6)n a33ag2a31+a32 001 8- (A)(B)(C)(D) 二,填空题 k111 1,设A= 1k11 11k1 ,若r(A)=3,则k=(). 111k 1a… 2,设A= a1…a 为n(m≥3)阶方阵,A的伴随矩阵A的秩r(4)=1,则a=() aaa 1 3,设A ,(①)若齐次线性方程组A=0只有零解 1a-2 则a的取值为):(2)若非齐次线性方程组4红=无解,则a的取值为), 010101 三,计算题 1,求矩阵A= 321 3利用矩阵的初等变换求矩阵A=315的逆矩阵 323 41 021 s-a=(i且x=Bx -33-4/(A) 5 2 (B) 5 (C) −1 (D) 1 6. A = a11 a12 a13 a21 a22 a23 a31 a32 a33 , B = a13 a12 a11 + a12 a23 a22 a21 + a22 a33 a32 a31 + a32 , P1 = 1 0 0 1 1 0 0 0 1 , P2 = 1 1 0 0 1 0 0 0 1 , P3 = 0 0 1 0 1 0 1 0 0 , KB = (A) AP1P2 (B) AP1P3 (C) AP3P1 (D) AP2P3 , WòK 1, A = k 1 1 1 1 k 1 1 1 1 k 1 1 1 1 k , er(A) = 3, Kk = ( ). 2, A = 1 a · · · a a 1 · · · a . . . . . . . . . a a a 1 èn(n ≥ 3)ê , Aäë› A∗ùr(A∗ ) = 1, Ka = ( ). 3, A = 1 2 1 2 3 a + 2 1 a −2 , b = 1 3 0 , x = x1 x2 x3 .,(1) e‡gÇ5êß|Ax = 0êk"), Kaäè( ); (2) eö‡gÇ5êß|Ax = bÃ), Kaäè( ). 4, 0 1 0 1 0 0 0 0 1 A 1 0 1 0 1 0 0 0 1 , KA = ( ). n, OéK 1, ¶› A = 3 1 0 2 1 −1 2 −1 1 3 −4 4 ù. 3, |^› –Cܶ› A = 3 2 1 3 1 5 3 2 3 _› . 4, A = 4 1 −2 2 2 1 3 1 −1 , B = 1 −3 2 2 3 −1 ÖAX = B, ¶X. 5, A = 0 2 1 2 −1 3 −3 3 −4 , B = 1 2 3 2 −3 1 ! ÖXA = B, ¶X. 8