【单选题】
设个体域是整数集,则下列命题的真值为真的是( )
①
<imgwidth="9"height="13"src="../uploadfiles/word/lsss001.files/image050.png">y<imgwidth="9"height="11"src="../uploadfiles/word/lsss001.files/image051.png">x(x·y=1)
②
<imgwidth="9"height="11"src="../uploadfiles/word/lsss001.files/image051.png">x<imgwidth="9"height="13"src="../uploadfiles/word/lsss001.files/image050.png">y(x·y≠0)
③
<imgwidth="97"height="19"src="../uploadfiles/word/lsss001.files/image054.png">
④
<imgwidth="91"height="22"src="../uploadfiles/word/lsss001.files/image055.png">
【单选题】
设A和B皆为n阶方阵,则下面论断错误的是()。
①
A与B等价的充要条件是rank(A)=rank(B)
③
A与B等价的充要条件是存在可逆阵P、Q,使A=PBQ
④
A可逆的充要条件是A等价于E<SUB>n</SUB>
【单选题】
设A,B表任意二随机事件,则下面错误的是()
①
<imgwidth="16"height="17"v:shapes="_x0000_i1102"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image152.png">与<imgwidth="16"height="20"v:shapes="_x0000_i1103"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image154.png">互不相容
②
<imgwidth="110"height="21"v:shapes="_x0000_i1104"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image156.png">
③
<imgwidth="27"height="20"v:shapes="_x0000_i1105"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image158.png">表示<imgwidth="16"height="17"v:shapes="_x0000_i1106"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image152.png">与<imgwidth="16"height="17"v:shapes="_x0000_i1107"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image161.png">都不发生
④
若<imgwidth="80"height="21"v:shapes="_x0000_i1108"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image163.png">,则<imgwidth="239"height="25"v:shapes="_x0000_i1109"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image165.png">
【单选题】
设A和B皆为n阶实方阵,则下面论断错误的是()。
①
<SPANstyle="FONT-SIZE:10.5pt;FONT-FAMILY:宋体;mso-bidi-font-size:12.0pt;mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA;mso-ascii-font-family:TimesNewRoman;mso-hansi-font-family:TimesNewRoman;mso-bidi-font-family:TimesNewRoman">A与B</SPAN><SPANlang=EN-USstyle="FONT-SIZE:10.5pt;FONT-FAMILY:TimesNewRoman;mso-bidi-font-size:12.0pt;mso-fareast-font-family:宋体;mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA"><SPANstyle="POSITION:relative;TOP:2pt;mso-text-raise:-2.0pt"></SPAN></SPAN><SPANstyle="FONT-SIZE:10.5pt;FONT-FAMILY:宋体;mso-bidi-font-size:12.0pt;mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA;mso-ascii-font-family:TimesNewRoman;mso-hansi-font-family:TimesNewRoman;mso-bidi-font-family:TimesNewRoman">相似的充要条件是存在可逆阵P</SPAN><SPANstyle="FONT-SIZE:10.5pt;FONT-FAMILY:宋体;mso-bidi-font-size:12.0pt;mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA;mso-ascii-font-family:TimesNewRoman;mso-hansi-font-family:TimesNewRoman;mso-bidi-font-family:TimesNewRoman">,使得A=P<SUP>-1</SUP>BP</SPAN>
②
若A是反对称矩阵,则A<SUP>T</SUP>=-A</P>