一、单项选择题(本大题共18小题,每小题2分,共36分)
在每小题列出的四个备选项中只有一个是符合题目要求的,请将其代码填写在题后的括号内。错选、多选或未选均无分。
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A.k≠-1 B.k≠3
C.k≠-1且k≠3 D.k≠-1或k≠3
2.若齐次线性方程组
有非零解,则λ=( )
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A.AB是2×3矩阵
B.AB是3×2矩阵
C.AB是2×2矩阵
D.因为B的列数不等于A的行数,故AB无意义
4.若AB=AC,能推出B=C,其中A,B,C为同阶方阵,则A应满足条件( )
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5.设α=(1,2,4),β=(0,1,3),k为任意实数,则( )
A.α-β线性相关 B.α+β线性相关
C.kα线性无关 D.α-β线性无关
6.设k是数,α是向量,kα=0,则必有结论( )
A.α=0 B. k=0
C.k=0且α =0 D.k=0和α=0至少有一个成立
7.设A为n阶矩阵,
≠0,则( )
A.A是正定矩阵 B.秩(A)
C.A有两列对应元素成比例 D.A中任一行均不能由其余各行线性表出
8.x1+x2+…+xn=0的任一基础解系向量中的个数为( )
A.1 B.2
C.n+1 D.n-1
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A.0.1 B.0.3
C.0.6 D.1.0
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A.np(1-p) B.np2
C.np2(1-p) D.-np2
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