线性变换的幂零性

幂零的线性变换是一类较为特殊的线性变换.本文介绍了幂零的线性变换一些性质、线性变换的幂零性与矩阵的幂零性关系以及幂零矩阵的一个应用.     

矩阵谱分解理论的一种应用

为了把谱分解理论应用到一般矩阵上去,我在教学中采用了类似于线性变换的分解方法(可参考Kenneth Hoffman/Ray Kunze“Linear Algebra”1971.P222)把一个矩阵分解为谱分解与幂零矩阵的和的形式.     

幂等的线性变换在某组基下的矩阵

本文通过线性变换在某组基下的矩阵的基本理论,证明了幂等的线性变换在某组基下的矩阵为幂等矩阵。     

数量幂等线性变换

主要给出数量幂等矩阵及数量幂等线性变换的性质,及两个数量幂等线性变换有相同值域(核)的充分必要条件。     

从V=AV⊕A-1（0）的一个条件谈起

给出n维线性空间中线性变换的值域与核的直和是整个空间的充要条件.在此基础上对幂等变换与幂等矩阵的若干性质进行了研究,进而解决了涉及幂等变换与幂等矩阵的一些问题.     

二元域上幂零矩阵的性质

幂零矩阵是一类特殊的矩阵,二元域是有限域上的特殊情况,二元域上的幂零矩阵与实数域上的幂零矩阵有许多相似的代数性质,但是由于二元域上的矩阵的运算与实数域上矩阵的运算有些不同,故二元域上的幂零矩阵又不一定具有实数域上的所有代数性质.本文主要从这个方面来讨论二元域上幂零矩阵与实数域上幂零矩阵的异同.     

线性代数

1.平面和空间中的向量有序点对,向量,和,向量与数的乘积.2.向量空间加法,纯量乘法,零向量,向量空间.3.子空间线性子空间,线性组合,线性生成L(A_1,…,A_n),L(E),U∩W,U W.12(1).用矩阵表示线性变换T对于给定基(A_1,…,A_n)},{B_1,…,B_m)}的矩阵12(2).进一步用矩阵表示线性变换幂零线性变换,循环,循环向量.13.线性方程组仿射子空间,简化梯形形式,增广矩阵.     

幂等矩阵的性质

本文利用线性变换理论证明了幂等矩阵的一些性质．     

幂零矩阵的几个注记

幂零矩阵是一种特殊的矩阵,利用幂零矩阵的性质,可以把一个n阶矩阵变为两个可逆矩阵和一个对角矩阵的和,从而可以进一步方便研究矩阵的一些性质.     

任意域上伴随矩阵的一些性质

本文刻画了任意域上伴随矩阵的一系列性质,其中m-幂等阵的伴随矩阵仍是m-幂等的以及幂零阵的伴随矩阵是平方零矩阵两个性质是文献[1]及[2]中结果的推广,并且同时简化了他们的证明过程.     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

Western and Eastern culture differences in commercial field

The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

Sister Carrie, an Adherent of Desires

Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.     

Improvement of one-cycle controller by use of proportional integral differential controller

1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…     

风的曲线

Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.