【正文】
設(shè) BA, 均為 3階方陣, 6, 3AB?? ? ,則 13()AB???? 8. 3 7. 設(shè) A 為 n階方陣,若存在數(shù) ?和非零 n維向量 X ,使得 AX X?? ,則稱 X 為 A 相應于特征值 ?的特征向量. 8. 若 )(,)( ?? BAPAP ,則 )(ABP . 9. 如果隨機變量 X 的期望 2)( ?XE , 9)( 2 ?XE ,那么 ?)2( XD 20. 10. 不含未知參數(shù)的樣本函數(shù)稱為 統(tǒng)計量 11. 設(shè) BA, 均為 3階方陣, 2, 3AB??,則 13AB???? 18. 12. 設(shè)隨機變量 0 1 2~ a??????,則 a = . 13. 設(shè) X 為隨機變量,已知 3)( ?XD ,此時 D X( )3 2? ? 27 . 14. 設(shè) ?? 是未知參數(shù) ? 的一個無偏估計量,則有 ?()E??? . 15. 設(shè) 221 1 21 1 22 1 4Axx???,則 0A? 的根是 1, 1, 2, 2 . 16. 設(shè) 4 元線性方程組 AX=B 有解且 r( A) =1,那么 AX=B的相應齊次方程組的基礎(chǔ)解系 含有 3 個解向量. 17. 設(shè) AB, 互不相容,且 PA( )?0 ,則 PBA( )? 0. 18. 設(shè)隨機變量 X ~ B( n, p),則 E( X) = np. 19. 若樣本 nxxx , 21 ? 來自總體 )1,0(~ NX ,且 ???ni ixnx 11 ,則 ~x )1,0( nN . 三、計算題(每小題 16 分,共 64 分) 1設(shè)矩陣??????????????423 532211A ,求( 1) A ,( 2) 1?A . 解: ( 1) 1100 110211210 110211423 532211 ?????????????A ( 2)利用初等行變換得 4 ???????????? ?????????????????103210 012110001211100423 010532001211 ? ?? ?? ??????????? ?? ? ?? ???????????1 1 2 1 0 00 1 1 2 1 00 0 1 5 1 11 1 2 1 0 00 1 1 2 1 00 0 1 5 1 1 ? ? ? ? ?? ??????????? ?? ? ?? ???????????1 1 0 9 2 20 1 0 7 2 10 0 1 5 1 11 0 0 2 0 10 1 0 7 2 10 0 1 5 1 1即 A? ?? ????????????12 0 17 2 15 1 1 2. 當 ? 取何值時,線性方程組?????????????????2532342243214321421?xxxxxxxxxxx 有解,在有解的情況下求方程組的全部解. 解:將方程組的增廣矩陣化為階梯形 1 1 0 1 21 2 1 4 32 3 1 5 21 1 0 1 20 1 1 3 10 1 1 3 2??? ??????????? ???? ???????????? ??????????????? ?? ?? ? ????????????1 1 0 1 20 1 1 3 10 0 0 01 0 1 2 10 1 1 3 10 0 0 0 3? ? 由此可知當 ??3 時,方程組無解。 violence, and lack of suitability for children39。s death. Through bravery and wit, Nezha finally broke into the underwater palace and successfully defeated him. The film shows various kinds of attractive sceneries and the traditional culture of China, such as spectacular mountains, elegant sea waves and exquisite ancient Chinese clothes. It has received a variety of awards. Hav oc in Heav en The story of Havoc in Heaven( Chinese: 大鬧天宮) is based on the earliest chapters of the classic story Journey to the West. The main character is Sun Wukong, aka the Monkey King, who rebels against the Jade Emperor of heaven. The stylized anim ation and drums and percussion acpaniment used in this film are heavily influenced by Beijing Opera traditions. The name of the movie became a colloquialism in the Chinese language to describe someone making a mess. Regardless that it was an animated film, it still be came one of the most influential films in all of Asia. Countless cartoon adaptations that followed have reused the same classic story Journey to the West , yet many consider this 1964 iteration to be the most original, fitting and memorable, The Golden Monkey Defeats a Demon【金猴降妖】 The Golden Monkey Defeats a Demon (Chinese: 金猴降妖 ), also referred as The Monkey King Conquers the Demon, is adapted from chapters of the Chinese classics Journey to the West, or Monkey in the Western world. The fiveepisode animation series tells the story of Monkey King Sun Wukong, who followed Monk Xuan Zang39。s natural scenery. Pleasant Goat and Big Big Wolf 【 喜洋洋與灰太狼】 Pleasant Goat and Big Big Wolf (Chinese:喜羊羊與灰太狼 ) is a Chinese animated television series. The show is about a group of goats living on the Green Pasture, and the story revolves around a clumsy wolf who wants to eat them. It is a popular domestic animation series and has been adapted into movies. Nezha Conquers the Dragon King ( Chinese: 哪吒鬧海) is an outstanding animation issued by the Ministry of Culture in 1979 and is based on an episode from the Chinese mythological novel Fengshen Yanyi. A mother gave birt