齐次线性方程组⎧⎩⎨⎪⎪λx1+x2+λ2x3=0x1+λx2+x3=0x1+x2+λx3=0的系数矩阵记为A,若存在三阶矩阵B≠O,使得AB=O,则()

齐次线性方程组λx1+x2+λ2x3=0x1+λx2+x3=0x1+x2+λx3=0的系数矩阵记为A,若存在三阶矩阵BO,使得AB=O,则()


A. λ=2|B|=0
B. λ=2|B|0
C. λ=1|B|=0
D. λ=1|B|0

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