简答题\n 所有的矩阵都是可逆的。（ ）\n简答题\n 若A为（ ），则A必为方阵。\n简答题\n 要断言矩阵A的秩为r，只须条件（ ）满足即可。\n简答题\n 齐次线性方程组如果有无穷多个解，则其解集构成一个向量空间。（ ）\n多选题\n 向量组线性无关, 则向量组, , 也线性无关。（ ）\n简答题\n 设n阶方阵A的秩r＜n，则在A的n个行向量中（ ）。\n简答题\n 设A为n×n阶矩阵，如果r(A)＜n，则（ ）。\n简答题\n 如果行列式中有两行（列）的对应元素成比例，那么这个行列式的值为零。（ ）\n多选题\n 向量组线性相关的充要条件是该向量组中任一个向量都可以用其余个向量线性表示。（ ）\n简答题\n \n \n \n \n \n \n \n \n \n \n 已知 ，则( )。\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 若为n维向量组，且秩()=r, 则( )。\n \n \n \n \n \n \n \n \n \n \n A.\n 任意r个向量线性无关\n \n \n \n \n \n \n B.\n 任意r+1个向量线性相关\n \n \n \n \n \n \n C.\n 该向量组存在唯一极大无关组\n \n \n \n \n \n \n D.\n 该向量组在s＞r时, 由若干个极大无关组\n \n \n \n \n \n简答题\n 只有零矩阵的秩才为0。（ ）\n简答题\n \n \n \n \n \n \n \n \n \n \n 设向量组线性无关，则下列向量组中，线性无关的是（ ）。\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 已知A为n阶可逆阵， 则与A必有相同特征值的矩阵是( )。\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 二次型所对应的矩阵为。（ ）\n多选题\n \n \n \n \n \n \n \n \n \n \n 设Ax=b是一非齐次线性方程组，η1，η2是其任意2个解，则下列结论错误的是（ ）。\n \n \n \n \n \n \n \n \n \n \n A.\n 3η1-2η2是Ax=b的一个解\n \n \n \n \n \n \n B.\n η1+η2是Ax=b的一个解\n \n \n \n \n \n \n C.\n η1-η2是Ax=0的一个解 \n \n \n \n \n \n \n D.\n η1-η2是Ax=b的一个解\n \n \n \n \n \n简答题\n \n \n \n \n \n \n \n \n \n \n 设则方程的根的个数为（ ）\n \n \n \n \n \n \n \n \n \n \n A.\n 0\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 3\n \n \n \n \n \n简答题\n 一个实二次型的矩阵的秩称为该二次型的秩。（ ）\n简答题\n \n \n \n \n \n \n \n \n \n \n A=的特征值为0，2，则的特征值为（ ）。\n \n \n \n \n \n \n \n \n \n \n A.\n 2，2; \n \n \n \n \n \n \n B.\n –2，-2; \n \n \n \n \n \n \n C.\n 0，0; \n \n \n \n \n \n \n D.\n –4，-4;\n \n \n \n \n \n简答题\n 矩阵的秩大于矩阵的行秩。（ ）\n