【单选题】
设随机变量X和Y相互独立,且都服从<imgwidth="61"height="25"v:shapes="_x0000_i1053"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image050.png">,若<imgwidth="172"height="21"v:shapes="_x0000_i1054"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image052.png">,其中<imgwidth="27"height="21"v:shapes="_x0000_i1055"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image054.png">为常数,则<imgwidth="28"height="25"v:shapes="_x0000_i1056"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image056.png">=()
①
<imgwidth="51"height="44"v:shapes="_x0000_i1057"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image058.png">
②
<imgwidth="51"height="44"v:shapes="_x0000_i1058"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image060.png">
③
<imgwidth="51"height="41"v:shapes="_x0000_i1059"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image062.png">
④
<imgwidth="50"height="41"v:shapes="_x0000_i1060"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image064.png">
【单选题】
设矩阵<imgwidth="150"height="114"v:shapes="_x0000_i1054"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image038.png">,假设4维列向量组<imgwidth="94"height="26"v:shapes="_x0000_i1055"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image040.png">线性无关,则向量组<imgwidth="142"height="26"v:shapes="_x0000_i1056"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image042.png">的秩为()
①
<imgwidth="10"height="18"v:shapes="_x0000_i1057"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image044.png">
②
<imgwidth="14"height="18"v:shapes="_x0000_i1058"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image046.png">
③
<imgwidth="14"height="20"v:shapes="_x0000_i1059"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image048.png">
④
<imgwidth="14"height="18"v:shapes="_x0000_i1060"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image050.png">
【单选题】
已知<imgwidth="18"height="18"v:shapes="_x0000_i1035"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">为<imgwidth="14"height="16"v:shapes="_x0000_i1036"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image002.png">阶方阵,以下说法错误的是()
①
<imgwidth="150"height="34"v:shapes="_x0000_i1037"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image006.png">
②
<imgwidth="18"height="18"v:shapes="_x0000_i1038"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的全部特征向量为<imgwidth="118"height="28"v:shapes="_x0000_i1039"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image008.png">的全部解
③
若<imgwidth="18"height="18"v:shapes="_x0000_i1040"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">有<imgwidth="14"height="16"v:shapes="_x0000_i1041"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image002.png">个互不相同的特征值,则必有<imgwidth="14"height="16"v:shapes="_x0000_i1042"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image002.png">个线性无关的特征向量
④
若<imgwidth="18"height="18"v:shapes="_x0000_i1043"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">可逆,而矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1044"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的属于特征值<imgwidth="16"height="20"v:shapes="_x0000_i1045"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image010.png">的特征向量也是矩阵<imgwidth="28"height="22"v:shapes="_x0000_i1046"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image012.png">属于特征值<imgwidth="19"height="42"v:shapes="_x0000_i1047"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image014.png">的特征向量
【单选题】
<imgwidth="477"height="32"v:shapes="图片_x0020_161"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds01.files/image159.png">
【单选题】
<imgwidth="14"height="16"v:shapes="_x0000_i1244"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image264.png">个未知量的齐次线性方程组<imgwidth="54"height="20"v:shapes="_x0000_i1245"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image297.png">有非零解的充分必要条件是()
①
方程个数<imgwidth="46"height="16"v:shapes="_x0000_i1246"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image299.png">
②
方程个数<imgwidth="46"height="16"v:shapes="_x0000_i1247"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image301.png">
③
方程个数<imgwidth="46"height="16"v:shapes="_x0000_i1248"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image303.png">
④
<imgwidth="70"height="28"v:shapes="_x0000_i1249"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image305.png">
【单选题】
实二次型<imgwidth="270"height="26"v:shapes="_x0000_i1342"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image422.png">,则负惯性指数为()
①
<imgwidth="14"height="20"v:shapes="_x0000_i1343"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image318.png">
②
<imgwidth="10"height="18"v:shapes="_x0000_i1344"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image323.png">
③
<imgwidth="14"height="18"v:shapes="_x0000_i1345"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image426.png">
④
<imgwidth="14"height="20"v:shapes="_x0000_i1346"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image428.png">
【单选题】
已知<imgwidth="136"height="84"v:shapes="_x0000_i1289"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image325.png">是正定矩阵,则()
①
<imgwidth="86"height="46"v:shapes="_x0000_i1290"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image327.png">
②
<imgwidth="74"height="46"v:shapes="_x0000_i1291"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image329.png">
③
<imgwidth="86"height="48"v:shapes="_x0000_i1292"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image331.png">
④
<imgwidth="74"height="48"v:shapes="_x0000_i1293"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image333.png">
【单选题】
一枚硬币投掷两次,令<imgwidth="32"height="25"v:shapes="_x0000_i1040"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image032.png">“第<imgwidth="9"height="17"v:shapes="_x0000_i1041"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image034.png">次正面朝上”<imgwidth="55"height="21"v:shapes="_x0000_i1042"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image036.png">,则“至多有一次正面朝上可表示为()
①
<imgwidth="80"height="26"v:shapes="_x0000_i1043"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image038.png">
②
<imgwidth="33"height="26"v:shapes="_x0000_i1044"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image040.png">
③
<imgwidth="35"height="27"v:shapes="_x0000_i1045"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image042.png">
④
<imgwidth="50"height="25"v:shapes="_x0000_i1046"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb06.files/image044.png">
【单选题】
在下列结果中,构成概率分布的是()
①
<imgwidth="194"height="41"v:shapes="_x0000_i1163"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image226.png">
②
<imgwidth="212"height="41"v:shapes="_x0000_i1164"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image228.png">
③
<imgwidth="180"height="41"v:shapes="_x0000_i1165"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image230.png">
④
<imgwidth="184"height="41"v:shapes="_x0000_i1166"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image232.png">
【单选题】
若<imgwidth="56"height="22"v:shapes="_x0000_i1197"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image240.png">,则<imgwidth="16"height="18"v:shapes="_x0000_i1198"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image220.png">的特征值为()
①
<imgwidth="22"height="18"v:shapes="_x0000_i1199"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image242.png">或<imgwidth="10"height="18"v:shapes="_x0000_i1200"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image244.png">
②
<imgwidth="14"height="20"v:shapes="_x0000_i1201"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image246.png">或<imgwidth="10"height="18"v:shapes="_x0000_i1202"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image244.png">
③
<imgwidth="14"height="20"v:shapes="_x0000_i1203"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image246.png">
④
<imgwidth="10"height="18"v:shapes="_x0000_i1204"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image244.png">