【文章內(nèi)容簡介】 3 1 10 1 0 3 1 1 1 1 0A Q P??? ? ? ? ? ?? ? ? ? ? ?? ? ? ? ? ? ? ?? ? ? ? ? ?? ? ? ? ? ?? ? ?? ? ? ? ? ?. 興義民族師范學(xué)院本科畢業(yè)論文 8 求分塊矩陣的逆矩陣 例 2 [6] 設(shè) ABPCD???????是一個(gè)分塊矩陣 ,其中 B 為 r 階方陣 ,C 為 k 階方陣 ,當(dāng) B 與 1()C DB A?? 都是可逆矩陣時(shí) ,求證 P 可逆 ,并求 1P? . 解法一：因?yàn)?B 與 1()C DB A?? 都是可逆矩陣 , 且11A B E O O BC D B A E C D B A D??? ? ? ? ? ??? ? ? ? ? ???? ? ? ? ? ? 111 0xA B A B E O O BP B C D B AC D C D B A E C D B A D ???? ? ? ? ? ? ??? （ 1） 所以 P 可逆 . 1 11211211211()1 1 1 1 1 1 1 1 1 111()0 0 00 0 000( ) ( ) ( ) ( )00D B r r C D B A rBrr B A rA B E C D E EC D B A D BC D E A B E A B EEEC D B A D B C D B A C D B A D B C D B AA B E EB A B? ??????? ? ? ??? ? ? ? ? ? ? ? ? ????? ? ?? ? ? ? ? ???? ?????? ??????? ? ? ? ? ?? ? ? ? ? ?? ? ? ?? ? ? ? ? ?????? ? ? ?? ? ? ???? ?1 1 1 1 11 1 1 1 1 1 1 10 ( ) ( )0 ( ) ( )E C D B A D B C D B AE B B A C D B A D B B A C D B A? ? ? ? ?? ? ? ? ? ? ? ???? ? ??? ??? ? ? ???1 1 1 1 111 1 1 1 1 1 1 1( ) ( )( ) ( )C D B A D B C D B AP B B A C D B A D B B A C D B A? ? ? ? ??? ? ? ? ? ? ? ???? ? ??? ??? ? ? ??? 解法二： ???????? ?????????? ?????????? ????????????????? ???? ADBCO OBEDADBC OEEO ABEOE EODC BA 1111 )(? ???????? ????????? ?????????? ???????????????????? ????????11111111)()( ADBCO OBEDADBC OEEO ABEOE EODC BAP 1 1 1 1 11 1 1 1 1 1 1 1( ) ( )( ) ( )C D B A D B C D B AB B A C D B A D B B A C D B A? ? ? ? ?? ? ? ? ? ? ? ???? ? ?? ??? ? ? ??? 興義民族師范學(xué)院本科畢業(yè)論文 9 第四章 結(jié)論 分塊矩陣是高等代數(shù)的基本工具 ,分塊矩陣的運(yùn)算（包括初等變換）是高等代數(shù)的基本語言 .但是分塊矩陣的運(yùn)算（特別是分塊矩陣的乘法和初等變換）的合理性并不是一目了然 .通過本文的討論 ,我們看到 ,求逆矩陣的問題集中反映了分塊矩陣的深刻思想內(nèi)涵 .分塊矩陣的乘法與初等變換之間有著深刻的內(nèi)在聯(lián)系 . 興義民族師范學(xué)院本科畢業(yè)論文 10 參考文獻(xiàn) .高等代數(shù) [M].第三版 .北京 :高等教育出版社 ,. .高等代數(shù)學(xué) [M].復(fù)旦大學(xué)出版社 ,. .分塊矩陣的初等變換 [J].甘肅聯(lián)合大學(xué)學(xué)報(bào) (自然科學(xué)版 ),2021,25(9):2223. ,周世國 .矩陣的分塊初等變換與分塊初等矩陣及其應(yīng)用 [J].數(shù)學(xué)的實(shí)踐與認(rèn)識(shí) ,2021,41(19):245248. .分塊矩陣的初等變換及其應(yīng)用 [J].大理學(xué)院院報(bào) ,2021,8(8):7. .分塊矩陣的應(yīng)用 [J].福建廣播電視大學(xué)學(xué)報(bào) ,2021,5:7172. .分塊矩陣的初等變換及應(yīng)用 [J].伊犁師范學(xué)院學(xué)報(bào) (自然科學(xué)版 ),2021,4:1617. .分塊矩陣的應(yīng)用討論 [J].連云港師范高等?？茖W(xué)校學(xué)報(bào) ,2021,3:9798. .高等代數(shù) (上 )[M].北京 :清華大學(xué)出版社 ,194211. ,石生明 .高等代數(shù) [M].第三版 .北京 :高等教育出版社 ,(2021 重印 ),181186. 興義民族師范學(xué)院本科畢業(yè)論文 11 致 謝 值此畢業(yè)論文完成之際 ,特感謝我的論文指導(dǎo)老師張?jiān)２ɡ蠋?,他是一位認(rèn)真負(fù)責(zé) ,熱情的老師 ,在整個(gè)畢業(yè)論文的撰寫過程中 ,他都對(duì)我進(jìn)行了認(rèn)真的指導(dǎo)和詳細(xì)的修改 ,從他的身上我也學(xué)到了很多 ,比如說嚴(yán)謹(jǐn)認(rèn)真、一絲不茍的工作作風(fēng) .我將永遠(yuǎn)記住他曾經(jīng)給予過我的教導(dǎo)，我要向張老師表達(dá)我內(nèi)心最崇高的敬意和最衷心的感謝！ 同時(shí)我還要感謝四年來所有任課老師和輔導(dǎo)員及同學(xué)們 ,在我大學(xué)四年的學(xué)習(xí)和生活中 ,給予了我很多的教導(dǎo)和很大的幫助，是他們的理解、包容、支持使我逐漸成長，從他們身上我學(xué)到了很多做人 的道理 ,將使我受益終生 . 感謝我的家人和好友 ,他們的關(guān)愛和支持永遠(yuǎn)是我前進(jìn)的最大動(dòng)力 ,在任何時(shí)候 ,他們都給予我最大的鼓勵(lì)和支持 ,我感謝他們！ 最后 ,向?qū)忛單艺撐暮蛥⒓哟疝q的老師們表示衷心的感謝 ,感謝你們抽出寶貴的時(shí)候參加我的論文答辯會(huì) ,感謝你們對(duì)論文不當(dāng)之處提出的寶貴意見和建議 . 興義民族師范學(xué)院本科畢業(yè)論文 12 請(qǐng)您刪除一下內(nèi)容， O(∩ _∩ )O謝謝?。?！ Many people have the same mixed feelings when planning a trip during Golden Week. With heaps of time, the sevenday Chinese 請(qǐng)您刪除一下內(nèi)容， O(∩ _∩ )O謝謝?。?！ National Day holiday could be the best occasion to enjoy a destination. However, it can also be the easiest way to ruin how you feel about a place and you may bee more fatigued after the holiday, due to battling the large crowds. During peak season, a dream about a place can turn to nightmare without careful planning, especially if you travel with children and older people. As most Chinese people will take the holiday to visit domestic tourist destinations, crowds and busy traffic are inevitable at most places. Also to be expected are increasing transport and acmodation prices, with the possibility that there will be no rooms available. It is also mon that you39。 ll wait in the line for one hour to get a ticket, and another two hours at the site, to only see a tiny bit of the place due to the crowds. Last year, 428 million tourists traveled in China over the weeklong holiday in October. Traveling during this period is a matter that needs thorough preparation. If you are short on time to plan the uping Golden Week it may not be a bad idea to avoid some of the most crowded places for now. There is always a place so fascinating that everyone yearns for. Arxan is a place like this. The beauty of Arxan is everlasting regardless of the changing of four seasons. Bestowed by nature, its spectacular seasonal landscape and mountains are just beyond word. Arxan is a crucial destination for the remended travelling route, China Inner Mongolia Arxan — Hailar — Manzhouli. It is also the joint of the four prairies across the SinoMongolian border, where people gravitate towards the exotic atmosphere mixed with Chinese, Russian, and Mongolia elements. As a historic site for the Yitian Battle, Arxan still embodies the spirit of Genghis Khan. Walking into Arxan, you will be amazed by a kaleidoscope of geous colors all the year round the Spring azaleas blooming red in the snow, the Summer sea wavering blue in the breeze, the Autumn leaves painted in yellow covering volcanic traces, and the Winter woods shining white on the vast alpine snowscape. Hinggan League Arxan city is situated in the far eastern area of Inner Mongolia Autonomous Region. Its full name Haren Arxan means hot holy water in the Mongolian language.