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本篇文章给大家谈谈n阶行列式的计算方法,以及n阶行列式的计算方法定义对应的知识点,希望对各位有所帮助,不要忘了收藏本站!

内容导航:
  • n阶行列式计算公式是什么?
  • 如何计算n阶行列式?
  • 求n阶行列式的几种方法和技巧
  • 计算n阶行列式
  • n阶行列式的计算方法(带例题)
  • n阶行列式的定义与计算

Q1:n阶行列式计算公式是什么?

对于副对角线行列式


再添加为分块之后,比如


O A


B O


A是m阶,B是n阶


那么其行列式值当然就还是


(-1)^(m+n)|A||B|


主对角线的数分别相乘,所得值相加;副对角线的数分别相乘,所得值的相反数相加。两者总和为行列式的值。此法仅适用于小于4阶的行列式。


扩展资料:


把一个一般的四边形变为特殊的四边形,可以通过改变两条对角线的大小关系和位置关系来完成。这也是特殊四边形之间重要的联系纽带之一。


若n阶矩阵A有n个不同的特征值,则A必能相似于对角矩阵。


说明:当A的特征方程有重根时.就不一定有n个线性无关的特征向量,从而未必能对角化。


参考资料来源:百度百科--对角线


参考资料来源:百度百科--对角矩阵

Q2:如何计算n阶行列式?

就是他的特殊的子行列式的值,就是取前i行,前i列,这个行列式有两个顺序主子式,一个就是8,还有一个是128。


的项的和,而其中a13a21a34a42相应于k=3,即该项前端的符号应为(-1),若n阶方阵A=(aij),则A相应的行列式D记作D=|A|=detA=det(aij),若矩阵A相应的行列式D=0,称A为奇异矩阵,否则称为非奇异矩阵,标号集:序列1,2,...,n中任取k个元素i1,i2,...,ik满足1≤i12<...k≤n(1)。


①行列式A中某行(或列)用同一数k乘,其结果等于kA。


②行列式A等于其转置行列式AT(AT的第i行为A的第i列)。


③若n阶行列式|αij|中某行(或列);行列式则|αij|是两个行列式的和,这两个行列式的第i行(或列),一个是b1,b2,…,bn;另一个是с1,с2,…,сn;其余各行(或列)上的元与|αij|的完全一样。


④行列式A中两行(或列)互换,其结果等于-A。


⑤把行列式A的某行(或列)中各元同乘一数后加到另一行(或列)中各对应元上,结果仍然是A。

Q3:求n阶行列式的几种方法和技巧

求n阶行列式的几种方法:



  1. 使用初等行变换,化成三角阵,然后主对角线元素相乘


  2. 使用数学归纳法,或者递推关系式


  3. 特殊类型的矩阵,使用公式法,例如:范德蒙行列式


Q4:计算n阶行列式

1、把前n-1列都加到第n列上。h

2、从最后一行开始,每行都减去前一行。

3、把行列式按最后一列展开。

4、把剩下的n-1阶行列式从第二行开始,每行都减去第一行。

5、做完以上几步,剩下的我想你就应该会了,最后结果是:

(-1)的[N*(N-1)/2次方]乘以二分之(n+1)乘以n的(n-1)次方。

Q5:n阶行列式的计算方法(带例题)

使用代数余子式来计算,选取矩阵的一行,分别用该行的各个元素乘以相应的代数余子式,再求之和即可。代数余子式是出去该元素所在行、列的元素后剩下的元素组成的矩阵的行列式再乘以一个符号 (-1)^(i+j),i,j是该元素所在的行与列数。例如:|1 2 3||4 5 6|=1*|5 6 |+(-1)*2*|4 6|+3*| 4 5|展开作业帮用户2017-07-06举报

Q6:n阶行列式的定义与计算

按照一定的规则,由排成正方形的一组(n个)数(称为元素)之乘积形成的代数和,称为n阶行列式。


例如,四个数a、b、c、d所排成二阶行式记为


,它的展开式为ad-bc。


九个数a1,a2,a3;b1,b2,b3;c1,c2,c3排成的三阶行列式记为


它的展开式为a1b2c3+a2b3c1+a3b1c2-a1b3c2-a2b1c3-a3b2c1. 行列式起源于线性方程组的求解,在数学各分支有广泛的应用。在代数上,行列式可用来简化某些表达式,例如表示含较少未知数的线性方程组的解等。


在1683年,日本的关孝和最早提出了行列式的概念及它的展开法。莱布尼兹在1693年(生前未发表)的一封信中,也宣布了他关于行列式的发现。

关于n阶行列式的计算方法和n阶行列式的计算方法定义的介绍到此就结束了,不知道你从中找到你需要的信息了吗?如果你还想了解更多这方面的信息,记得收藏关注本站。

查看更多关于n阶行列式的计算方法的详细内容...

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本篇文章给大家谈谈n阶行列式的计算方法,以及n阶行列式的计算方法定义对应的知识点,希望对各位有所帮助,不要忘了收藏本站!

内容导航:
  • n阶行列式计算公式是什么?
  • 如何计算n阶行列式?
  • 求n阶行列式的几种方法和技巧
  • 计算n阶行列式
  • n阶行列式的计算方法(带例题)
  • n阶行列式的定义与计算

Q1:n阶行列式计算公式是什么?

对于副对角线行列式


再添加为分块之后,比如


O A


B O


A是m阶,B是n阶


那么其行列式值当然就还是


(-1)^(m+n)|A||B|


主对角线的数分别相乘,所得值相加;副对角线的数分别相乘,所得值的相反数相加。两者总和为行列式的值。此法仅适用于小于4阶的行列式。


扩展资料:


把一个一般的四边形变为特殊的四边形,可以通过改变两条对角线的大小关系和位置关系来完成。这也是特殊四边形之间重要的联系纽带之一。


若n阶矩阵A有n个不同的特征值,则A必能相似于对角矩阵。


说明:当A的特征方程有重根时.就不一定有n个线性无关的特征向量,从而未必能对角化。


参考资料来源:百度百科--对角线


参考资料来源:百度百科--对角矩阵

Q2:如何计算n阶行列式?

就是他的特殊的子行列式的值,就是取前i行,前i列,这个行列式有两个顺序主子式,一个就是8,还有一个是128。


的项的和,而其中a13a21a34a42相应于k=3,即该项前端的符号应为(-1),若n阶方阵A=(aij),则A相应的行列式D记作D=|A|=detA=det(aij),若矩阵A相应的行列式D=0,称A为奇异矩阵,否则称为非奇异矩阵,标号集:序列1,2,...,n中任取k个元素i1,i2,...,ik满足1≤i12<...k≤n(1)。


①行列式A中某行(或列)用同一数k乘,其结果等于kA。


②行列式A等于其转置行列式AT(AT的第i行为A的第i列)。


③若n阶行列式|αij|中某行(或列);行列式则|αij|是两个行列式的和,这两个行列式的第i行(或列),一个是b1,b2,…,bn;另一个是с1,с2,…,сn;其余各行(或列)上的元与|αij|的完全一样。


④行列式A中两行(或列)互换,其结果等于-A。


⑤把行列式A的某行(或列)中各元同乘一数后加到另一行(或列)中各对应元上,结果仍然是A。

Q3:求n阶行列式的几种方法和技巧

求n阶行列式的几种方法:



  1. 使用初等行变换,化成三角阵,然后主对角线元素相乘


  2. 使用数学归纳法,或者递推关系式


  3. 特殊类型的矩阵,使用公式法,例如:范德蒙行列式


Q4:计算n阶行列式

1、把前n-1列都加到第n列上。h

2、从最后一行开始,每行都减去前一行。

3、把行列式按最后一列展开。

4、把剩下的n-1阶行列式从第二行开始,每行都减去第一行。

5、做完以上几步,剩下的我想你就应该会了,最后结果是:

(-1)的[N*(N-1)/2次方]乘以二分之(n+1)乘以n的(n-1)次方。

Q5:n阶行列式的计算方法(带例题)

使用代数余子式来计算,选取矩阵的一行,分别用该行的各个元素乘以相应的代数余子式,再求之和即可。代数余子式是出去该元素所在行、列的元素后剩下的元素组成的矩阵的行列式再乘以一个符号 (-1)^(i+j),i,j是该元素所在的行与列数。例如:|1 2 3||4 5 6|=1*|5 6 |+(-1)*2*|4 6|+3*| 4 5|展开作业帮用户2017-07-06举报

Q6:n阶行列式的定义与计算

按照一定的规则,由排成正方形的一组(n个)数(称为元素)之乘积形成的代数和,称为n阶行列式。


例如,四个数a、b、c、d所排成二阶行式记为


,它的展开式为ad-bc。


九个数a1,a2,a3;b1,b2,b3;c1,c2,c3排成的三阶行列式记为


它的展开式为a1b2c3+a2b3c1+a3b1c2-a1b3c2-a2b1c3-a3b2c1. 行列式起源于线性方程组的求解,在数学各分支有广泛的应用。在代数上,行列式可用来简化某些表达式,例如表示含较少未知数的线性方程组的解等。


在1683年,日本的关孝和最早提出了行列式的概念及它的展开法。莱布尼兹在1693年(生前未发表)的一封信中,也宣布了他关于行列式的发现。

关于n阶行列式的计算方法和n阶行列式的计算方法定义的介绍到此就结束了,不知道你从中找到你需要的信息了吗?如果你还想了解更多这方面的信息,记得收藏关注本站。

查看更多关于n阶行列式的计算方法的详细内容...

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    故宫小长Even though Iowa is best known for its agricultural products and services, Reynolds said that advanced manufacturing is "actually the largest sector of our GDP

    假再成热仅4日还"A report from a survey of 14 provinces in China found that the daily intake of sugars for Chinese people was lower than the level recommended by the World Health Organization, but for children between the ages of 3 and 17 it was much higher because of the growing popularity of sugary drinks, China Daily reported in May门景点购A display in Times Square includes a sugar tower that is 15 feet wide by 24 feet high

    故宫小长假再成热门景点:购票需预约 仅4日还有余票

    票需预约It is made of cartons depicting more than 45,000 pounds of sugar, surrounded by life-size models of "crystallized" children有余票The top domestic consumers, in descending order, are India, the EU, China, the US and Brazil故宫小长Standing sentinel around the mound are ghostly sculptures of small children, apparently made out of sugar-like granular material, wearing tags that read: "I am 9 years old and weigh 64 pounds假再成热仅4日还According to the National Soft Drink Association, the industry produces 600 12-ounce cans of sugary drinks per person per year, most of it what they call the full-sugar variety, and supplies more than a quarter of what Americans drink门景点购The publicity stunt, created by Magnetic Collaborative agency to promote power bar-maker Kind's new line of fruit snacks, which have no added sugar, is meant to sound an alarm

    票需预约In descending order, Brazil, India, the EU, Thailand, China and the US are the top producers有余票The survey, conducted in 2014 by China's health, education and sports authorities, found that the sugar intake of males 13 to 17 surpassed 8故宫小长In 1998, when she was back in her hometown, Cho delivered a three-hour speech to 82 heads of primary schools, trying to persuade them to offer Chinese courses

    假再成热仅4日还A teacher of Korean at Hefei University in Anhui province, Cho has helped to boost the two countries' ties in multiple aspects - not just in education门景点购The couple found employment quickly at Hefei University and began teaching Korean the next year票需预约cn  Cho Sung-hye talks with her students at Hefei University in Anhui province有余票The latest example was a 2016 donation of 20,000 yuan ($3,000) to four high school graduates in Hefei's Feidong county who had been enrolled at universities but were about to give up for lack of money

    What is your impression of President Xi Jinping? I think he is a determined manAfter finishing middle school and high school studies in the city, Cho's elder son was admitted to Peking University for undergraduate studies, and then returned to Hefei later for his MBA at the University of Science and Technology of China

    故宫小长假再成热门景点:购票需预约 仅4日还有余票

    She has played a prominent role in education, business development and friendshipAfter about a year in Hefei, Park took a job in the United States and tried to persuade Cho to give up HefeiWhat three words would you use to describe China today? Revitalizing, changing, confidentIn 2000, with Cho's help, the Banyang Elementary School - in which she had studied - began teaching Chinese

    "I told him that we had just started here and we should at least spend five years in the city before judging whether we should move to another place," Cho said"There were even South Korean businessmen who intended to invest in Hefei but decided to invest in Shanghai and Nanjing instead, as they found the two cities to be more developed," she addedChina is a big country, so officials have to collaborate with each other wellI don't believe the Western countries' political practices could work in China, though many of them are considered successful by the Westerners themselves

    First, China is playing an increasingly important role in the world, so some neighboring countries, and especially some developed Western countries may regard China as a challenger to the power they have maintained for many yearsShe has helped more than 3,000 students from Anhui to study in her country, and more than 1,000 were given job opportunities there

    故宫小长假再成热门景点:购票需预约 仅4日还有余票

    One of the results is that the Chinese people are more confident than ever about their country's developmentIt's hard to make long-term predictions, but I hope China can keep its own development pace and have its own development patterns

    I believe that in the coming five years, the gap between coastal and inland regions will be narrowedOpening up to the world has brought dramatic changes to the coastal regions, which have been more developed that the inland areasCho's brothers and sisters also brought their children to HefeiThe younger one attended Anhui University of Chinese Medicine and earned bachelor's and master's degrees there"When the eldest of my two sons was in the third year of middle school, his history teacher, who had some experience in China, suggested the students go to live there and have a close look at the old country," Cho saidBefore coming to China as an adult, she worked at Soon Chun Hyang University as a teacher

    "On the visit to Hefei, I found it was not very developed but thought it would have great potentialTo better promote the educational exchanges, Cho and her husband founded the Handa Cultural Exchange Co in Hefei in 2006, with Cho as president

    She herself knew little of the province or its capital at that time, so she decided to have a look before taking her family there"In the five years since the 18th CPC National Congress in 2012, China has invested more than ever before in poverty relief, and President Xi Jinping has vowed to eliminate poverty by 2020," Cho noted

    She is now helping the development area build a China-South Korea Industry Park, and she has already brought in three South Korean companies to invest in the city's high-tech zoneOfficials should all start from basic positions and get promotions gradually

    He has been trying his best to achieve what he has vowed to doI became the first South Korean person to receive the Chinese Central Government's Friendship Award in 2002 and the first from my country to get permanent residency in China in 2006We didn't expect that we would come to love the country as much as we do," said Cho, who speaks fluent MandarinSome of China's practices are also worth learning, such as how it trains its officials

    " What do you feel has been China's biggest achievement over the past five years? What's the most notable change you've observed? China has achieved much in many aspects over the last five yearsOver the last 21 years, South Korean teacher Cho Sung-hye has contributed much to the friendship between the people of her country and China

    A remarkable South Korean teacher took up residence in Hefei, Anhui province, at the urging of her young son and never looked back"Nowadays all the primary schools in my country have made Chinese-language courses available to students," said Cho, who was believed by some local media to have given the strongest push to the achievement

    It was the first primary school in the country to do so"At the peak, I had 21 relatives living here, and there are still 12 of them now," Cho said

    For the last five years, the air has been clearing upWhat do you think China will be like in five years' time? How do you view China's longer-term future? Chinese people's incomes have increased significantly in recent years and they will become richer in the next five years" Cho and her husband have also donated hundreds of thousands of yuan to help prevent the children of poverty-stricken rural families in Anhui from dropping out of schoolCho said the number of the poverty-stricken students is declining, and they can now get more financial support from the government, rather than relying on occasional social donations

    Do you believe that some of China's experiences or practices could be used to solve pressing global problems? If so, what are they? China has a very mature and comprehensive system to foster leadershipWhat are your expectations for the upcoming 19th National Congress of the Communist Party of China? What are the key issues you care about most? I think China loves peace more than some of the developed countries

    In recent years, I have received numerous awards from the Chinese governmentAnd she has brought even more students from South Korea to China

    By comparing these figures, Pew seems to suggest that China and the US are engaging in a popularity contest in the PhilippinesMeanwhile, two-thirds say having a strong economic relationship with China is more important for ties between the two nations, while only 28 percent say being tough with China on territorial disputes is more vital

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2 视频 | 苏州《都挺好》取景地成热门景点 道路被迫封闭GitHub遭攻击!黑客给出十天限期 -24~-9 °
3 直播 | 巴菲特!芒格!2019股东大会14万民众向日本新天皇朝贺 121人中暑 -23~-12 °
4 爬黄山挤哭,小学生吐槽不如回家写作业"宠粉"重庆的基本操作:五一节封桥给游客看夜景拍照 -23~-8 °
5 《青春与祖国同在》微电影 重温百年前激情燃烧岁月中国旅行团在巴黎遭抢劫 受害者被喷射催泪瓦斯 -20~-8 °
6 超过《红海行动》,《复联4》跻身中国内地票房总榜前三甲魅族大换血?黄章大股东身份被取代 -20~-8 °
7 NASA供应商检测结果造假19年?致两颗7亿美元卫星发射失败菲律宾民都洛岛附近海域发生5.5级地震 震源深度10千米 -20~-5 °
8 面孔丨李想:我是一名特奥体操冠军德国警方摧毁全球第二大暗网交易平台 -19~-10 °
9 加拿大被痛骂后,终于开始行动了世园之旅的奇妙和魅力 -18~-12 °
10 乘客被堵火车外 “一直就这样”不是以后也这样的理由纳德拉:微软突破万亿美元市值“没有意义” -18~-10 °
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空气质量排行榜

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排名 城市 今天空气
1 这个地图上不存在的绝密地方 我们去了!雷军自曝25年前旧照 网友发现端倪 7优
2 桂林民房起火5死38伤 医院:伤者平均22 多为大学生青年朋友的知心人习近平 7优
3 奋斗是青春最亮丽的底色警方用AI找回被拐10年儿童 7优
4 步长制药董事长赵涛:女儿留学资金与公司无关云集CEO:创业有多少困苦就有多少贵人相助 7优
5 4612桌正在排队!网友哀嚎:假都放完了 还没轮到我吃饭苹果工业设计团队的最早成员全部离职 7优
6 北京见义勇为者426天免罪记:我不信会让好人尝苦果中国游客在巴厘岛遭性侵 领馆通报 7优
7 “五一”小长假过半 贵铁警方为旅客寻回失物价值近20万元大爷两次霸占火车卧铺:床我先睡就是我的 不抗议处罚 7优
8 SpaceX推迟发射龙飞船 此前爆炸原因出炉停售限流!“五一”假期全国多个景区爆棚 7优
9 姑娘出嫁,拿一套房子做嫁妆!男方却说“太不要脸”!NASA官方发布一系列太阳系天体海报,美得像画 7优
10 那些横空出世又快速陨落的互联网巨头奋斗是青春最亮丽的底色 7优
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1 @总书记:中国的未来,请您放心!微纪录片 | 无奋斗,不青春 381严重
2 朝鲜试射数枚导弹 飞行距离70-200公里谱写新时代的青春之歌 324严重
3 来了!百度大脑AI虚拟主持人首次亮相央视!美媒披露美国核武库最新规模 共有3800枚核弹头 273重度
4 河北涞源气象台:尘卷风难预报 充气城堡最脆弱微纪录片 | 无奋斗,不青春 270重度
5 时隔1年,三星智能机在华占有率重回1%女副局长发飙后:未道歉,也没解决问题 269重度
6 中国首位女舰长的彪悍人生,放弃百万年薪投笔从戎奋斗是青春最亮丽的底色 257重度
7 SpaceX推迟发射龙飞船 此前爆炸原因出炉《青春与祖国同在》微电影 重温百年前激情燃烧岁月 256重度
8 CBA九冠王!广东4-0横扫新疆创造历史 易建联砍超级两双人多到心慌!龙门石窟再次被挤爆 游客:排2小时才挤进来 229重度
9 英国地方选举初步结果显示两大主要政党纷纷遭重挫返程注意了!大风等天气将提前结束假期火速"上岗" 229重度
10 中国游客在巴厘岛遭性侵 领馆通报公交私车抢拽方向盘都可能构罪 加重情节不得缓刑 226重度
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