【判断题】【消耗次数:1】
若x1和x2是齐次线性方程组Ax=0的解,则x1-x2也是方程组Ax=0的解。
正确
错误
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相关题目
【多选题】 设x1和x2是齐次线性方程组Ax=0的解,则
①  x1-x2是齐次线性方程组Ax=0的解。
②  x1+x2是齐次线性方程组Ax=0的解。
③  2x1-x2是齐次线性方程组Ax=0的解。
④  x1+2x2是齐次线性方程组Ax=0的解。
【多选题】 设x1和x2是非齐次线性方程组Ax=b的解,则
①  x1-x2是齐次线性方程组Ax=0的解。
②  x1+x2是非齐次线性方程组Ax=b的解。
③  x1-x2是非齐次线性方程组Ax=b的解,则
④  0.5x1+0.5x2是非齐次线性方程组Ax=b的解。
【判断题】 若x1和x2是非齐次线性方程组Ax=b的解,则x1+x2也是Ax=b的解。
①  正确
②  错误
【判断题】 若齐次线性方程组Ax=0有非零解,则A的列向量组线性无关
①  正确
②  错误
【单选题】 设A是mn?矩阵,Ax?0是非齐次线性方程组Ax?b所对应的齐次线性方程组,则 下列结论正确的是( )
①  若 Ax?0仅有零解,则Ax?b有唯一解.
②  若Ax?0有非零解,则Ax?b有无穷多个解.
③  若 Ax?b有无穷多个解,则Ax?0仅有零解.
④  若Ax?b有无穷多个解,则Ax?0有非零解
【单选题】 设A是m*n阶矩阵,Ax=0是非齐次线性方程组Ax=b所对应的齐次线性方程组,则下列结论正确的是()
①  若Ax=0仅有零解,则Ax=b有唯一解
②  若Ax=0有非零解,则Ax=b有无穷多个解
③  若Ax=b有无穷多个解,则Ax=0仅有零解
④  若Ax=b有无穷多个解,则Ax=0有非零解
【判断题】 若某个线性方程组相应的齐次线性方程组只有零解,则该线性方程组有唯一解。
①  正确
②  错误
【判断题】 若某个线性方程组相应的齐次线性方程组只有零解,则该线性方程组无解.
①  正确
②  错误
【判断题】 若线性方程组AX=B的导出组AX=0只有零解,则AX=B有唯一解。
①  正确
②  错误
【判断题】 若某个线性方程组相应的齐次线性方程组只有零解,则该线性方程组可能无解.
①  正确
②  错误
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