举报
lion1949
疏忽了 解: 增广矩阵 = λ -1 1 λ-3 1 λ 1 -2 1 1 λ -2 r1<->r3 1 1 λ -2 1 λ 1 -2 λ -1 1 λ-3 r2-r1, r3-λr1 1 1 λ -2 0 λ-1 1-λ 0 0 -1-λ 1-λ^2 3λ-3 r3-(1+λ)r2 1 1 λ -2 0 λ-1 1-λ 0 0 λ(1+λ) 0 3λ-3 当λ≠0且λ≠1且λ≠-1时, r(A)=r(A,b)=3, 方程组有唯一解. 当λ=0或λ=-1时, r(A)=2,r(A,b)=3, 方程组无解. 当λ=1时, r(A)=r(A,b)=1<3, 方程组有无穷多解. 增广矩阵--> 1 1 1 -2 0 0 0 0 0 2 0 0 --> 1 0 1 -2 0 0 0 0 0 1 0 0 通解为: (-2,0,0)'+c(-1,0,1)'