【单选题】
若存在一可逆阵<imgwidth="18"height="18"v:shapes="_x0000_i1303"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image388.png">使得<imgwidth="54"height="22"v:shapes="_x0000_i1304"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image390.png">为对角阵，其中<imgwidth="134"height="84"v:shapes="_x0000_i1305"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image392.png">，则<imgwidth="18"height="18"v:shapes="_x0000_i1306"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image388.png">为（）
①
<imgwidth="84"height="84"v:shapes="_x0000_i1307"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image394.png">
②
<imgwidth="84"height="84"v:shapes="_x0000_i1308"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image394.png">
③
<imgwidth="84"height="84"v:shapes="_x0000_i1309"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image396.png">
④
<imgwidth="84"height="84"v:shapes="_x0000_i1310"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image398.png">
【单选题】
设<imgwidth="48"height="26"v:shapes="_x0000_i1189"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image226.png">是<imgwidth="16"height="18"v:shapes="_x0000_i1190"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image220.png">的特征值且<imgwidth="54"height="22"v:shapes="_x0000_i1191"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image228.png">，则<imgwidth="26"height="28"v:shapes="_x0000_i1192"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image230.png">是（）特征值
①
<imgwidth="28"height="18"v:shapes="_x0000_i1193"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image232.png">
②
<imgwidth="26"height="22"v:shapes="_x0000_i1194"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image234.png">
③
<imgwidth="22"height="22"v:shapes="_x0000_i1195"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image236.png">
④
<imgwidth="28"height="22"v:shapes="_x0000_i1196"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image238.png">
【单选题】
设三阶方阵<imgwidth="18"height="18"v:shapes="_x0000_i1085"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的特征值为<imgwidth="52"height="22"v:shapes="_x0000_i1086"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image064.png">，对应的特征向量为<imgwidth="70"height="26"v:shapes="_x0000_i1087"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image066.png">，若<imgwidth="32"height="18"v:shapes="_x0000_i1088"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image068.png"><imgwidth="84"height="26"v:shapes="_x0000_i1089"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image070.png">，则<imgwidth="68"height="22"v:shapes="_x0000_i1090"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image072.png">
①
<imgwidth="82"height="84"v:shapes="_x0000_i1091"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image074.png">
②
<imgwidth="82"height="84"v:shapes="_x0000_i1092"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image076.png">
③
<imgwidth="94"height="84"v:shapes="_x0000_i1093"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image078.png">
④
<imgwidth="94"height="84"v:shapes="_x0000_i1094"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image080.png">
【单选题】
设随机变量<imgwidth="13"height="15"v:shapes="_x0000_i1216"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image328.png">和<imgwidth="13"height="17"v:shapes="_x0000_i1217"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image330.png">的密度函数分别为<imgwidth="131"height="48"v:shapes="_x0000_i1218"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image332.png"><imgwidth="140"height="50"v:shapes="_x0000_i1219"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image334.png">若<imgwidth="13"height="15"v:shapes="_x0000_i1220"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image328.png">与<imgwidth="13"height="17"v:shapes="_x0000_i1221"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image330.png">相互独立，则<imgwidth="57"height="21"v:shapes="_x0000_i1222"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image336.png">（）
①
1
②
<imgwidth="16"height="41"v:shapes="_x0000_i1223"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image338.png">
③
<imgwidth="15"height="41"v:shapes="_x0000_i1224"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image340.png">
④
<imgwidth="16"height="41"v:shapes="_x0000_i1225"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image342.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">
【单选题】
设<imgwidth="95"height="22"v:shapes="_x0000_i1198"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image265.png">与<imgwidth="78"height="22"v:shapes="_x0000_i1199"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image267.png">都是来自于总体<imgwidth="14"height="14"v:shapes="_x0000_i1200"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image154.png">的两独立样本，<imgwidth="14"height="20"v:shapes="_x0000_i1201"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image268.png">，<imgwidth="12"height="20"v:shapes="_x0000_i1202"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image247.png">与<imgwidth="46"height="22"v:shapes="_x0000_i1203"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image270.png">分别是两样本的均值和方差，<imgwidth="144"height="22"v:shapes="_x0000_i1204"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image272.png">，则有（）
①
对于任意的常数<imgwidth="179"height="22"v:shapes="_x0000_i1205"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image274.png">是<imgwidth="12"height="18"v:shapes="_x0000_i1206"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image276.png">的无偏估计，且<imgwidth="73"height="42"v:shapes="_x0000_i1207"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image278.png">，<imgwidth="73"height="42"v:shapes="_x0000_i1208"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image280.png">，<imgwidth="32"height="20"v:shapes="_x0000_i1209"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image282.png">达到最小
②
对于任意的常数<imgwidth="179"height="22"v:shapes="_x0000_i1210"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image274.png">是<imgwidth="12"height="18"v:shapes="_x0000_i1211"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image276.png">的无偏估计，且<imgwidth="73"height="42"v:shapes="_x0000_i1212"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image278.png">，<imgwidth="73"height="42"v:shapes="_x0000_i1213"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image280.png">，<imgwidth="32"height="20"v:shapes="_x0000_i1214"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image282.png">达到最小
③
对于任意常数<imgwidth="95"height="29"v:shapes="_x0000_i1215"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image284.png">，<imgwidth="202"height="26"v:shapes="_x0000_i1216"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image286.png">都是<imgwidth="12"height="18"v:shapes="_x0000_i1217"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image276.png">的无偏估计，并且当<imgwidth="46"height="40"v:shapes="_x0000_i1218"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image288.png">时，<imgwidth="35"height="20"v:shapes="_x0000_i1219"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image290.png">达到最小
④
对于任意常数<imgwidth="84"height="26"v:shapes="_x0000_i1220"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image291.png">，<imgwidth="207"height="26"v:shapes="_x0000_i1221"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image292.png">都是<imgwidth="12"height="18"v:shapes="_x0000_i1222"src="http://wljy.whut.edu.cn:80/uploadfiles/word/xxdsb11.files/image276.png">的无偏估计
【单选题】
设总体<imgwidth="86"height="22"v:shapes="_x0000_i1257"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image373.png">，其中<imgwidth="35"height="22"v:shapes="_x0000_i1258"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image375.png">已知，<imgwidth="86"height="22"v:shapes="_x0000_i1259"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image377.png"><imgwidth="46"height="18"v:shapes="_x0000_i1260"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image379.png">为来自总体<imgwidth="14"height="12"v:shapes="_x0000_i1261"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image341.png">的样本，<imgwidth="14"height="18"v:shapes="_x0000_i1262"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image382.png">为样本均值，<imgwidth="12"height="20"v:shapes="_x0000_i1263"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image384.png">为样本方差，则下列统计量中服从<imgwidth="9"height="18"v:shapes="_x0000_i1264"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image386.png">分布的是（）
①
<imgwidth="75"height="69"v:shapes="_x0000_i1265"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image388.png">
②
<imgwidth="75"height="69"v:shapes="_x0000_i1266"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image390.png">
③
<imgwidth="75"height="73"v:shapes="_x0000_i1267"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image392.png">
④
<imgwidth="53"height="86"v:shapes="_x0000_i1268"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb10.files/image394.png">
【单选题】
设<imgwidth="16"height="20"v:shapes="_x0000_i1143"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image129.png">是可逆矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1144"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image091.png">的一个特征值，则<imgwidth="18"height="18"v:shapes="_x0000_i1145"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image091.png">的伴随矩阵<imgwidth="22"height="22"v:shapes="_x0000_i1146"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image131.png">必有一个特征值为（）
①
<imgwidth="78"height="48"v:shapes="_x0000_i1147"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image133.png">
②
<imgwidth="58"height="48"v:shapes="_x0000_i1148"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image135.png">
③
<imgwidth="56"height="20"v:shapes="_x0000_i1149"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image137.png">
④
<imgwidth="74"height="32"v:shapes="_x0000_i1150"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image139.png">
【单选题】
<imgwidth="13"height="21"v:shapes="_x0000_i1174"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image254.png">与<imgwidth="13"height="17"v:shapes="_x0000_i1175"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image256.png">的相关系数<imgwidth="50"height="26"v:shapes="_x0000_i1176"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image258.png">，表示<imgwidth="13"height="21"v:shapes="_x0000_i1177"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image254.png">与<imgwidth="13"height="17"v:shapes="_x0000_i1178"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image256.png">（）
①
相互独立
②
不线性相关
③
存在常数<imgwidth="27"height="21"v:shapes="_x0000_i1179"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image260.png">使<imgwidth="116"height="27"v:shapes="_x0000_i1180"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image262.png">
④
满足<imgwidth="164"height="29"v:shapes="_x0000_i1181"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image264.png">
【单选题】
设<imgwidth="162"height="26"v:shapes="_x0000_i1348"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image448.png">是三阶方阵的三个特征值，对应特征向量分别为<imgwidth="62"height="26"v:shapes="_x0000_i1349"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image450.png">，且存在可逆矩阵<imgwidth="17"height="18"v:shapes="_x0000_i1350"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image452.png">，使得<imgwidth="54"height="22"v:shapes="_x0000_i1351"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image390.png"><imgwidth="118"height="84"v:shapes="_x0000_i1352"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image455.png">，则<imgwidth="32"height="18"v:shapes="_x0000_i1353"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image457.png">（）
①
<imgwidth="78"height="28"v:shapes="_x0000_i1354"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image459.png">
②
<imgwidth="78"height="28"v:shapes="_x0000_i1355"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image461.png">
③
<imgwidth="78"height="28"v:shapes="_x0000_i1356"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image463.png">
④
<imgwidth="78"height="28"v:shapes="_x0000_i1357"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image465.png">
