矩阵论课后习题答案

1 第一章 线性空间与线性映射 习题一 (43-45) 1、（1）对于Vyx ,，xyxyxyxyyxyxyxyx112211112211； （2）对于Vzyx,,， ))()(1111112221111112112211121112211zyzxyxzyxzyxyxzzyxyxzyxzzyxyxyxzyx， ))()(1111112221111111122211111221121zyzxyxzyxzyxzyxzyzyxzyxzyzyzyxxzyx， 即)()(zyxzyx。 （3）对于 00和Vx ，显然xxxxxxx21121000； （4）对于Vx ，令2211xxxy， 则0021221211221121xxxxxxxxxxxyx，即xy。 （5）对于R,和Vx ，有 xxxxxxxxxxxxxxxxxxxxxxx)()()]()[(21)()()2(21)()()]1()1([21)1(21)1(2121212212122212121221121212121（6）对于R和Vyx ,，有 2 211112211112211))(1(21)()()(yxyxyxyxyxyxyxyx， 211112211112212211122111122122121121212121))(1(21)()()1(21)1(21)()1(21)1(21)1(21)1(21yxyxyxyxyxyyxyxyxyxyxyyxxyxyyyxxxyx， 即yxyx)(。 （7）对于 R,和Vx ，有 xxxxxxxxxxxxxxx)()1(21)]1()1[(21)1(21])1(21[)1(21)(2121212121221212121...