简答题\n \n \n \n \n \n \n \n \n \n \n 向量组线性无关，且可由向量组线性表示，则r()必 ( ) r()。\n \n \n \n \n \n \n \n \n \n \n A.\n 大于等于\n \n \n \n \n \n \n B.\n 大于\n \n \n \n \n \n \n C.\n 小于\n \n \n \n \n \n \n D.\n 小于等于\n \n \n \n \n \n简答题\n \n \n \n \n \n \n \n \n \n \n 矩阵右乘初等矩阵相当于进行下列哪种初等变换( )。\n \n \n \n \n \n \n \n \n \n \n A.\n 第一行与第二行互换 \n \n \n \n \n \n \n B.\n 第二行与第三行互换\n \n \n \n \n \n \n C.\n 第一列与第二列互换 \n \n \n \n \n \n \n D.\n 第二列与第三列互换\n \n \n \n \n \n简答题\n n元线性方程组AX=b，r（A，b）＜n，那么方程AX=b（ ）。\n简答题\n 设A为n阶方阵, 且r(A)=r＜n， 则( )。\n多选题\n \n \n \n \n \n \n \n \n \n \n 若向量可由向量组线性表出，则( )。\n \n \n \n \n \n \n \n \n \n \n A.\n 存在一组不全为零的数,使等式成立\n \n \n \n \n \n \n B.\n 存在一组全为零的数,使等式成立\n \n \n \n \n \n \n C.\n 向量线性相关\n \n \n \n \n \n \n D.\n 对 的线性表示不唯一\n \n \n \n \n \n多选题\n \n \n \n \n \n \n \n \n \n \n 设A为三阶矩阵，已知，，，则（ ）。\n \n \n \n \n \n \n \n \n \n \n A.\n 6 \n \n \n \n \n \n \n B.\n －4 \n \n \n \n \n \n \n C.\n －2 \n \n \n \n \n \n \n D.\n 4\n \n \n \n \n \n简答题\n \n \n \n \n \n \n \n \n \n \n 设一个n元齐次线性方程组的系数矩阵的秩r(A)=n-3, 且为此方程组的三个线性无关的解， 则( )不是此方程组的基础解系。\n \n \n \n \n \n \n \n \n \n \n A.\n \n \n \n \n \n \n \n B.\n \n \n \n \n \n \n \n C.\n \n \n \n \n \n \n \n D.\n \n \n \n \n \n \n简答题\n \n \n \n \n \n \n \n \n \n \n 若三阶行列式 ，则三阶行列式( )。\n \n \n \n \n \n \n \n \n \n \n A.\n \n \n \n \n \n \n \n B.\n \n \n \n \n \n \n \n C.\n \n \n \n \n \n \n \n D.\n \n \n \n \n \n \n简答题\n 向量组线性相关。（ ）\n简答题\n \n \n \n \n \n \n \n \n \n \n 设三阶方阵A的特征值分别为，则A-1的特征值为（ ）。\n \n \n \n \n \n \n \n \n \n \n A.\n \n \n \n \n \n \n \n B.\n \n \n \n \n \n \n \n C.\n \n \n \n \n \n \n \n D.\n 2,4,3\n \n \n \n \n \n简答题\n 函数是二次型。（ ）\n简答题\n 非齐次线性方程组AX=b中未知数的个数为n，方程个数为m，系数矩阵A的秩为r，则（ ）。\n简答题\n 若两个同阶方阵有相同的特征值，那么这两个方阵相似。（ ）\n简答题\n A是3阶方阵，A-1的特征值有3，则A一定有特征值。（ ）\n多选题\n , , , ，则可由线性表示。（ ）\n多选题\n \n \n \n \n \n \n \n \n \n \n 设A , B , C均为n阶方阵，，，则的值为（ ）。\n \n \n \n \n \n \n \n \n \n \n A.\n \n \n \n \n \n \n \n B.\n \n \n \n \n \n \n \n C.\n \n \n \n \n \n \n \n D.\n \n \n \n \n \n \n简答题\n \n \n \n \n \n \n \n \n \n \n 三阶行列式的值为( )。\n \n \n \n \n \n \n \n \n \n \n A.\n \n \n \n \n \n \n \n B.\n \n \n \n \n \n \n \n C.\n \n \n \n \n \n \n \n D.\n \n \n \n \n \n \n多选题\n 设有二次型，则二次型的秩等于其对应的矩阵的秩。（ ）\n简答题\n \n \n \n 若矩阵A、B、C满足AB=AC,则B=C。\n \n\n \n \n \n \n \n \n\n简答题\n \n \n \n \n \n \n \n \n \n \n 设四阶行列式，则其中x的一次项的系数为（ ）\n \n \n \n \n \n \n \n \n \n \n A.\n 1\n \n \n \n \n \n \n B.\n －1\n \n \n \n \n \n \n C.\n 2\n \n \n \n \n \n \n D.\n －2\n \n \n \n \n \n