2011年线性代数冲刺讲义-邓泽华2011导航领航考研冲刺班数学讲义线性代数邓泽华编第二篇线性代数一、填空题分析填空题主要考查基础知识和运算能力，特别是运算的准确性。

1.（06-1-2-3）设矩阵«Skip Record If...»，矩阵«Skip Record If...»满足«Skip Record If...»，则«Skip Record If...» .【矩阵行列式，2】2.（06-4）设矩阵«Skip Record If...»，矩阵«Skip Record If...»满足«Skip Record If...»，则«Skip Record If...» .【矩阵方程，«Skip Record If...»】3.（04-1-2）设矩阵«Skip Record If...»，矩阵«Skip Record If...»满足«Skip Record If...»，则«Skip Record If...» .【矩阵行列式，«Skip Record If...»】4.（03-4）设«Skip Record If...»，«Skip Record If...»均为三阶矩阵，已知«Skip Record If...»，«Skip Record If...»，则«Skip Record If...» .【矩阵方程，«Skip Record If...»】5.（04-4）设«Skip Record If...»，«Skip Record If...»，其中«Skip Record If...»为三阶可逆矩阵，则«Skip Record If...» .【矩阵运算，«Skip Record If...»】6.（06-4）已知«Skip Record If...»为二维列向量，矩阵«Skip Record If...»，«Skip Record If...». 若行列式«Skip Record If...»，则«Skip Record If...» .【矩阵行列式，«Skip Record If...»】7.（03-2）设«Skip Record If...»为三维列向量，若«Skip Record If...», 则«Skip Record If...» .【向量乘积，«Skip Record If...»】8.（05-1-2-4）设«Skip Record If...»均为三维列向量，记矩阵«Skip Record If...»，«Skip Record If...».若行列式«Skip Record If...»，则«Skip Record If...» .【矩阵行列式，«Skip Record If...»】9.（03-3-4）设«Skip Record If...»维向量«Skip Record If...»，«Skip Record If...»，«Skip Record If...»，«Skip Record If...»，其中«Skip Record If...»的逆矩阵为«Skip Record If...»，则«Skip Record If...» .【矩阵运算，«Skip Record If...»】10.（03-2）设«Skip Record If...»，«Skip Record If...»均为三阶矩阵，已知«Skip Record If...»，若«Skip Record If...»，则«Skip Record If...» .【矩阵行列式，«Skip Record If...»】11.（03-1）从«Skip Record If...»的基«Skip Record If...»到基«Skip Record If...»的过渡矩阵为 .【过渡矩阵，«Skip Record If...»】12.（05-3-4）设行向量组«Skip Record If...»，«Skip Record If...»，«Skip RecordIf...»，«Skip Record If...»线性相关，且«Skip Record If...»，则«Skip RecordIf...» .【向量线性相关性，«Skip Record If...»】13.（04-4）设«Skip Record If...»是实正交矩阵，且«Skip Record If...»，«SkipRecord If...»则线性方程组«Skip Record If...»的解是 .【非齐次线性方程组，«Skip Record If...»】14.（04-3）二次型«Skip Record If...»的秩为 .【二次型的秩，2】15.（07-1-2-3-4）设矩阵«Skip Record If...»，则«Skip Record If...»的秩为 .【矩阵的秩，1】16.（08-1）设«Skip Record If...»为二阶矩阵， «Skip Record If...»是线性无关的二维列向量，«Skip Record If...»，则«Skip Record If...»的非零特征值为 .【特征值与相似矩阵，«Skip Record If...»】17.（08-2）设3阶矩阵«Skip Record If...»的特征值为«Skip Record If...»，且«Skip Record If...»，则«Skip Record If...» .【特征值与行列式，«Skip Record If...»】18.（08-3）设3阶矩阵«Skip Record If...»的特征值为1，2，2，则«Skip Record If...» .【特征值与行列式，«Skip Record If...»】19.（08-4）设三阶矩阵«Skip Record If...»的特征值互不相同，若行列式«Skip Record If...»，则«Skip Record If...» .【特征值与行列式，«Skip Record If...»】20.（08-n）设三阶矩阵«Skip Record If...»的特征值为«Skip Record If...»，则行列式«Skip Record If...» .【特征值与行列式，«Skip Record If...»】21.（09-1）设三维列向量«Skip Record If...»满足«Skip Record If...»，则矩阵«Skip Record If...»的非零特征值为 .【特征值，«Skip Record If...»】22.（09-2）设«Skip Record If...»为三维列向量，若矩阵«Skip Record If...»相似于«Skip Record If...»，则«Skip Record If...» .【相似矩阵，«Skip Record If...»】23.（09-3）设«Skip Record If...»，若矩阵«Skip Record If...»相似于«Skip RecordIf...»，则«Skip Record If...» .【相似矩阵，«Skip Record If...»】24.（08-n）设向量组«Skip Record If...»线性相关，则«Skip Record If...» .【线性相关性，«Skip Record If...»】25.（10-1）设«Skip Record If...»，若由«Skip Record If...»生成的向量空间的维数为«Skip Record If...»，则«Skip Record If...» .【向量空间，«Skip Record If...»】26.（10-2-3）设«Skip Record If...»为«Skip Record If...»阶矩阵，且«Skip Record If...»，则«Skip Record If...» .【行列式，«Skip Record If...»】27.（10-n）设«Skip Record If...»，则行列式«Skip Record If...» .【行列式，«Skip Record If...»】二、选择题分析解选择题的方法有⑴直接法；⑵间接法（排除法、特例法等）；⑶数形结合法。