电工程数学期末复资料考试抄
线性代数
1 矩阵初等行变换：1）两行互换2）某行非零常数3）某行K倍加行
2 阶梯型矩阵：1）全0行写面2）首非零元列标行标增增
3 行简化阶梯型矩阵：满足列条件阶梯型矩阵：1）首非零元全12）首非零元列余元素全0：
4 求矩阵A秩：A阶梯型矩阵阶梯型矩阵非零行行数矩阵A秩r(A)
例： 设矩阵求矩阵秩．
解：初等行变换矩阵化阶梯形
知矩阵秩2．
5 求矩阵方程AXB：（A B）(I X)XB
求矩阵A逆矩阵：（A I）（I ）
1 例：设矩阵AB求AB 解矩阵方程AXB
解：（AB）
→→
∴＝
例：设矩阵求：
解：
．
6 n元线性方程组解判定
1）AXb ：r(A b)r(A)时方程组解
r(Ab)≠r(A)时方程组解
AX0：方程组定解
2）求齐次线性方程组AX0基础解系：方程组中未知量分取（k00）(0k0)(00k)形式解量
3）求AX0般解全部解：
求AXb般解全部解：
例：设齐次线性方程组系数矩阵初等行变换
求齐次线性方程组基础解系通解．
解：
般解： （中元）
令
令．
方程组基础解系．
方程组通解：中意常数．
例：2线性方程组全部解
解：（A b）→→→方程组般解常数项视零取
相应齐次方程组基础解系取原方程组特解方程组全部解
X+C
例：取值时线性方程组
解解情况求方程组全部解．
解：方程组增广矩阵化阶梯形
知时方程组解时方程组解
时齐次方程组化
分令齐次方程组基础解系
令非齐次方程组特解
原方程组全部解
（中意常数）
二 概率部分
1假设两事件已知求．
解：
2正态分布X～
P(X>b)1P（X
例：设X～N(29)试求（1）P(X<11)(2)P（5Φ（2）09772Φ（3）09987）
解：P(X<11)Φ()Φ(3)09987
P(53估计区间假设检验：正态分布N（
1）方差已知：统计量U中
置信区间：[假设检验：假设
成立
2）方差未知：统计量T
置信区间：[假设检验： 假设
例： 某车间生产滚珠已知滚珠直径服正态分布．批产品里机取出9测直径均值151mm已知批滚珠直径方差试找出滚珠直径均值置信度095置信区间．
解：已知选取样函数
已知计算
滚珠直径均值置信度095置信区间已知条件置信区间
例：某距离进行4次独立测量数（单位：米）：
1551 1547 1550 1552
计算出已知测量系统误差求该距离置信度095置信区间（测量值服正态分布）．
解：未知
已知计算
该距离置信度095置信区间已知条件置信区间
例：资料分析某厂生产批砖抗断强度X～N(325121)批砖中机抽取9块测抗断强度（单位：kgcm）均值3112问批砖抗断强度否合格（α005μ196）
解：假设Ｈ：μ＝325
已知ｎ＝9＝3112 σ＝11
376>196
认批砖抗断强度合格
例：某钢厂生产批材根标准直径100mm批材进行检验机取出9根测直径均值999mm样标准差s047已知材直径服正态分布问批材质量否合格（检验显著性水α005）
解：假设Hμ100
已知：n9 s047 999
认批材质量合格
请您删容O(∩_∩)O谢谢2015年中央电期末复考试抄全电期末考试必备抄电考试必抄请您删容O(∩_∩)O谢谢2015年中央电期末复考试抄全电期末考试必备抄电考试必抄The battle for young viewers CCTV is embracing Internet culture and working with independent producers on TV shows to woo audiences under 35 Han Bing bin reports After charming audiences with his warm smile for 14 years China Central Television host Li Jiaming recently found himself targeted by a group of young netizens unhappy with his style The complaints came after Li hosted the premiere of Rising Star on Oct 31 It is a singing competition show that originated in Israel Many young netizens found his hosting style slow and boring and mocked it as CCTV evening gala style They even initiated an online campaign to replace him The 40yearold host＇s reaction to the criticism was surprising During the second episode he jokingly called himself the slow Jiaming and acted much younger talking faster and louder It＇s like selling a product When the customers file a complaint you must change says Li In the Internet age you get feedback very quickly These young people are so cute When you＇re willing to change for them they will quickly like you back In order to win more young viewers CCTV is relying on programs such as Rising Star to embrace Internet culture In Rising Star a studio audience and fans watching on television vote for their favorite singers in real time using the instantmessaging app WeChat Rising Star was designed to be a live broadcast but the Chinese version isn＇t because of policy reasons Still WeChat votes by viewers at home are still a major factor in determining which contestants advance to the next round In the show＇s latest episode more than 65 million votes were cast via WeChat Now the competition among entertainment shows is very fierce Audiences have more diverse needs CCTV needs to embrace an open attitude interact with young audiences and blend with the Internet says Lyu Yitao director of CCTV＇s entertainment channel The producer of Rising Star Enlight Media says the program will have a phenomenal effect given CCTV＇s audience base nationwide But it comes with a challenge says Zhang Hang chief producer of the program and CEO of Enlight Media＇s TV business Unlike topranking provincial satellite channels such as Hunan TV which have a large base of young fans thanks to a series of phenomenally popular entertainment and reality shows CCTV productions are usually more conservative and serious and thus have a much older audience base If we were to run this program on Hunan we may attract twice as many viewers says Zhang But since we didn＇t make it there we now have to make the best out of the given conditions And it means we have to make certain compromises When the current season of Rising Star ends Zhang says his company will conduct an overall evaluation of the program and make adjustments for future seasons Although audience ratings haven＇t lived up to Zhang＇s expectations he says the program has already helped CCTV attract more young people According to Enlight Media the number of people ages 15 to 35 who watched the first episode of Rising Star was 76 percent higher than the usual audience for CCTV entertainment productions In order to attract young audiences CCTV has been working with independent production companies As one of CCTV＇s closest partners Enlight Media has produced several entertainment and reality shows for the company＇s channels including the Chinese version of The Biggest Loser on CCTV＇s business channel and an original teenager talent show Shaonian Zhongguo－qiang (Strong Young Chinese) on CCTV1 This year CCTV also licensed EEMedia the producer of the popular Super Girl talent shows to produce the talk show Hi 2014 hosted by Taiwan pop star Harlem Yu and one of China＇s most popular TV stars Xie Na The show is geared toward younger audiences Canxing Productions which rose to fame with the success of its Voice of China series on Zhejiang TV also produced two talent shows for CCTV One is an original production called Songs of China which ended up as one of CCTV＇s most watched programs of 2014 The State Administration of Press Publication Radio Film and Television announced earlier this year that starting in 2015 only one music talent show can be aired nationwide during prime time each season and there can be only one program based on foreign formats each year However domestic media report that such policies don＇t apply to CCTV meaning it will become a highly desired platform by production companies Wang Changtian CEO of Enlight Media confirmed to the Shanghai Securities News that its programs scheduled to air on CCTV next year which include at least two reality shows won＇t be affected A kung futhemed reality show produced by Canxing is also reportedly scheduled to run on CCTV next year CCTV is very active The level of its acceptance of new ideas is even beyond my imagination says Zhang Hang Our cooperation with CCTV will surely continue When winter comes nothing is more relaxing than a hot spring bath For thousands of years natural mineralrich hot spring baths have also been used to relieve health ailments The water found in natural hot springs contains a variety of different minerals and the most common one is sulfur It has a rotten egg smell but is excellent for skin The sulfurcontaining water might be just what the doctor ordered when it comes to relieving pain stress itchy skin arthritis and more Hot springs resorts are thriving as biting cold winter arrives Here we take a look at some of the best natural hot springs China has to offer
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线性代数
1 矩阵初等行变换：1）两行互换2）某行非零常数3）某行K倍加行
2 阶梯型矩阵：1）全0行写面2）首非零元列标行标增增
3 行简化阶梯型矩阵：满足列条件阶梯型矩阵：1）首非零元全12）首非零元列余元素全0：
4 求矩阵A秩：A阶梯型矩阵阶梯型矩阵非零行行数矩阵A秩r(A)
例： 设矩阵求矩阵秩．
解：初等行变换矩阵化阶梯形
知矩阵秩2．
5 求矩阵方程AXB：（A B）(I X)XB
求矩阵A逆矩阵：（A I）（I ）
1 例：设矩阵AB求AB 解矩阵方程AXB
解：（AB）
→→
∴＝
例：设矩阵求：
解：
．
6 n元线性方程组解判定
1）AXb ：r(A b)r(A)时方程组解
r(Ab)≠r(A)时方程组解
AX0：方程组定解
2）求齐次线性方程组AX0基础解系：方程组中未知量分取（k00）(0k0)(00k)形式解量
3）求AX0般解全部解：
求AXb般解全部解：
例：设齐次线性方程组系数矩阵初等行变换
求齐次线性方程组基础解系通解．
解：
般解： （中元）
令
令．
方程组基础解系．
方程组通解：中意常数．
例：2线性方程组全部解
解：（A b）→→→方程组般解常数项视零取
相应齐次方程组基础解系取原方程组特解方程组全部解
X+C
例：取值时线性方程组
解解情况求方程组全部解．
解：方程组增广矩阵化阶梯形
知时方程组解时方程组解
时齐次方程组化
分令齐次方程组基础解系
令非齐次方程组特解
原方程组全部解
（中意常数）
二 概率部分
1假设两事件已知求．
解：
2正态分布X～
P(X>b)1P（X
例：设X～N(29)试求（1）P(X<11)(2)P（5
解：P(X<11)Φ()Φ(3)09987
P(5
1）方差已知：统计量U中
置信区间：[假设检验：假设
成立
2）方差未知：统计量T
置信区间：[假设检验： 假设
例： 某车间生产滚珠已知滚珠直径服正态分布．批产品里机取出9测直径均值151mm已知批滚珠直径方差试找出滚珠直径均值置信度095置信区间．
解：已知选取样函数
已知计算
滚珠直径均值置信度095置信区间已知条件置信区间
例：某距离进行4次独立测量数（单位：米）：
1551 1547 1550 1552
计算出已知测量系统误差求该距离置信度095置信区间（测量值服正态分布）．
解：未知
已知计算
该距离置信度095置信区间已知条件置信区间
例：资料分析某厂生产批砖抗断强度X～N(325121)批砖中机抽取9块测抗断强度（单位：kgcm）均值3112问批砖抗断强度否合格（α005μ196）
解：假设Ｈ：μ＝325
已知ｎ＝9＝3112 σ＝11
376>196
认批砖抗断强度合格
例：某钢厂生产批材根标准直径100mm批材进行检验机取出9根测直径均值999mm样标准差s047已知材直径服正态分布问批材质量否合格（检验显著性水α005）
解：假设Hμ100
已知：n9 s047 999
认批材质量合格
请您删容O(∩_∩)O谢谢2015年中央电期末复考试抄全电期末考试必备抄电考试必抄请您删容O(∩_∩)O谢谢2015年中央电期末复考试抄全电期末考试必备抄电考试必抄The battle for young viewers CCTV is embracing Internet culture and working with independent producers on TV shows to woo audiences under 35 Han Bing bin reports After charming audiences with his warm smile for 14 years China Central Television host Li Jiaming recently found himself targeted by a group of young netizens unhappy with his style The complaints came after Li hosted the premiere of Rising Star on Oct 31 It is a singing competition show that originated in Israel Many young netizens found his hosting style slow and boring and mocked it as CCTV evening gala style They even initiated an online campaign to replace him The 40yearold host＇s reaction to the criticism was surprising During the second episode he jokingly called himself the slow Jiaming and acted much younger talking faster and louder It＇s like selling a product When the customers file a complaint you must change says Li In the Internet age you get feedback very quickly These young people are so cute When you＇re willing to change for them they will quickly like you back In order to win more young viewers CCTV is relying on programs such as Rising Star to embrace Internet culture In Rising Star a studio audience and fans watching on television vote for their favorite singers in real time using the instantmessaging app WeChat Rising Star was designed to be a live broadcast but the Chinese version isn＇t because of policy reasons Still WeChat votes by viewers at home are still a major factor in determining which contestants advance to the next round In the show＇s latest episode more than 65 million votes were cast via WeChat Now the competition among entertainment shows is very fierce Audiences have more diverse needs CCTV needs to embrace an open attitude interact with young audiences and blend with the Internet says Lyu Yitao director of CCTV＇s entertainment channel The producer of Rising Star Enlight Media says the program will have a phenomenal effect given CCTV＇s audience base nationwide But it comes with a challenge says Zhang Hang chief producer of the program and CEO of Enlight Media＇s TV business Unlike topranking provincial satellite channels such as Hunan TV which have a large base of young fans thanks to a series of phenomenally popular entertainment and reality shows CCTV productions are usually more conservative and serious and thus have a much older audience base If we were to run this program on Hunan we may attract twice as many viewers says Zhang But since we didn＇t make it there we now have to make the best out of the given conditions And it means we have to make certain compromises When the current season of Rising Star ends Zhang says his company will conduct an overall evaluation of the program and make adjustments for future seasons Although audience ratings haven＇t lived up to Zhang＇s expectations he says the program has already helped CCTV attract more young people According to Enlight Media the number of people ages 15 to 35 who watched the first episode of Rising Star was 76 percent higher than the usual audience for CCTV entertainment productions In order to attract young audiences CCTV has been working with independent production companies As one of CCTV＇s closest partners Enlight Media has produced several entertainment and reality shows for the company＇s channels including the Chinese version of The Biggest Loser on CCTV＇s business channel and an original teenager talent show Shaonian Zhongguo－qiang (Strong Young Chinese) on CCTV1 This year CCTV also licensed EEMedia the producer of the popular Super Girl talent shows to produce the talk show Hi 2014 hosted by Taiwan pop star Harlem Yu and one of China＇s most popular TV stars Xie Na The show is geared toward younger audiences Canxing Productions which rose to fame with the success of its Voice of China series on Zhejiang TV also produced two talent shows for CCTV One is an original production called Songs of China which ended up as one of CCTV＇s most watched programs of 2014 The State Administration of Press Publication Radio Film and Television announced earlier this year that starting in 2015 only one music talent show can be aired nationwide during prime time each season and there can be only one program based on foreign formats each year However domestic media report that such policies don＇t apply to CCTV meaning it will become a highly desired platform by production companies Wang Changtian CEO of Enlight Media confirmed to the Shanghai Securities News that its programs scheduled to air on CCTV next year which include at least two reality shows won＇t be affected A kung futhemed reality show produced by Canxing is also reportedly scheduled to run on CCTV next year CCTV is very active The level of its acceptance of new ideas is even beyond my imagination says Zhang Hang Our cooperation with CCTV will surely continue When winter comes nothing is more relaxing than a hot spring bath For thousands of years natural mineralrich hot spring baths have also been used to relieve health ailments The water found in natural hot springs contains a variety of different minerals and the most common one is sulfur It has a rotten egg smell but is excellent for skin The sulfurcontaining water might be just what the doctor ordered when it comes to relieving pain stress itchy skin arthritis and more Hot springs resorts are thriving as biting cold winter arrives Here we take a look at some of the best natural hot springs China has to offer
文档香网(httpswwwxiangdangnet)户传
《香当网》用户分享的内容，不代表《香当网》观点或立场，请自行判断内容的真实性和可靠性！
该内容是文档的文本内容，更好的格式请下载文档