新东方在线考研...............................................................................................................................1
2016新东方在线考研数学(一)线性代数强化课程配套讲义 .......................................................1
授课教师：张宇 ..............................................................................................................................1
第一讲：行列式...............................................................................................................................3
综述...........................................................................................................................................3
一、行列式的定义与性质.......................................................................................................3
二、行列式的计算-----研究行列式中元素分布规律.............................................................6
第二讲矩阵...................................................................................................................................11
综述.........................................................................................................................................11
一、定义与运算.....................................................................................................................11
二.伴随阵................................................................................................................................15
三、可逆阵（方）.................................................................................................................17
四、初等阵.............................................................................................................................18
五、求
A的逆 .......................................................................................................................18
六、矩阵方程.........................................................................................................................19
七.分块矩阵及其应用............................................................................................................20
第三讲向量组与方程组...............................................................................................................24
综述: .......................................................................................................................................24
一、向量组的线性相关性:..................................................................................................24
二、线性表示问题...............................................................................................................26
三、极大线性无关组...........................................................................................................27
四、等价向量组...................................................................................................................28
五、齐次 AX = 0的求解,其中
A
......................................................................................29
m´n
六、非齐次 AX = B的求解。 ..........................................................................................30
七、关于秩的等式与不等式专题总结.................................................................................31
第四讲特征值与二次型...............................................................................................................32
综述.........................................................................................................................................32
知识结构：.............................................................................................................................33
An´n
一、
的特征值与特征向量 ............................................................................................33
二、
A ~ B与A ~ L ..............................................................................................................35
三、二次型化标准形.............................................................................................................38
