【单选题】
设<imgwidth="14"height="16"v:shapes="_x0000_i1089"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image004.png">元齐次线性方程组<imgwidth="54"height="20"v:shapes="_x0000_i1090"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image030.png">的通解为<imgwidth="108"height="32"v:shapes="_x0000_i1091"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image083.png">则矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1092"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">的秩（）
①
<imgwidth="62"height="24"v:shapes="_x0000_i1093"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image086.png">
②
<imgwidth="90"height="24"v:shapes="_x0000_i1094"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image088.png">
③
<imgwidth="66"height="24"v:shapes="_x0000_i1095"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image079.png">
④
<imgwidth="18"height="18"v:shapes="_x0000_i1096"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">的每行元素之和都不等于零
【单选题】
设随机变量<imgwidth="19"height="17"v:shapes="_x0000_i1111"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image123.png">的数学期望<imgwidth="68"height="21"v:shapes="_x0000_i1112"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image145.png">，方差<imgwidth="75"height="25"v:shapes="_x0000_i1113"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image147.png">，则由切比雪夫不等式有<imgwidth="118"height="21"v:shapes="_x0000_i1114"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image149.png">（）
①
<imgwidth="16"height="41"v:shapes="_x0000_i1115"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image151.png">
②
<imgwidth="16"height="41"v:shapes="_x0000_i1116"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image153.png">
③
<imgwidth="16"height="41"v:shapes="_x0000_i1117"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image130.png">
④
<imgwidth="15"height="41"v:shapes="_x0000_i1118"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image132.png">
【单选题】
若方阵<imgwidth="100"height="58"v:shapes="_x0000_i1264"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image337.png">，则<imgwidth="18"height="18"v:shapes="_x0000_i1265"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image285.png">的特征方程为（
①
<imgwidth="100"height="58"v:shapes="_x0000_i1266"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image339.png">
②
<imgwidth="112"height="24"v:shapes="_x0000_i1267"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image341.png">
③
<imgwidth="100"height="58"v:shapes="_x0000_i1268"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image343.png">
④
<imgwidth="112"height="24"v:shapes="_x0000_i1269"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image345.png">
【单选题】
设向量组<imgwidth="126"height="28"v:shapes="_x0000_i1113"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image136.png">的秩为<imgwidth="14"height="14"v:shapes="_x0000_i1114"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image138.png">，且<imgwidth="46"height="16"v:shapes="_x0000_i1115"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image140.png">，则以下结论中正确的是（）
①
<imgwidth="26"height="28"v:shapes="_x0000_i1116"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image126.png">中必有<imgwidth="14"height="14"v:shapes="_x0000_i1117"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image138.png">个向量线性无关，且<imgwidth="26"height="28"v:shapes="_x0000_i1118"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image126.png">中任意<imgwidth="36"height="18"v:shapes="_x0000_i1119"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image142.png">个向量都线性相关
②
<imgwidth="26"height="28"v:shapes="_x0000_i1120"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image126.png">中任意<imgwidth="14"height="14"v:shapes="_x0000_i1121"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image138.png">个向量都线性相关
③
<imgwidth="26"height="28"v:shapes="_x0000_i1122"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image126.png">中任意<imgwidth="14"height="14"v:shapes="_x0000_i1123"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image138.png">个向量都是<imgwidth="26"height="28"v:shapes="_x0000_i1124"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image126.png">的最大无关组
④
<imgwidth="26"height="28"v:shapes="_x0000_i1125"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image143.png">中任意一个向量都可由该组中其他任意<imgwidth="14"height="14"v:shapes="_x0000_i1126"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image144.png">个向量线性表示
【单选题】
已知<imgwidth="66"height="84"v:shapes="_x0000_i1256"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image318.png">和<imgwidth="80"height="84"v:shapes="_x0000_i1257"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image320.png">是线性方程组<imgwidth="54"height="20"v:shapes="_x0000_i1258"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image297.png">的两个解，则系数矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1259"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image260.png">是（）
①
<imgwidth="102"height="84"v:shapes="_x0000_i1260"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image323.png">
②
<imgwidth="96"height="58"v:shapes="_x0000_i1261"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image325.png">
③
<imgwidth="96"height="58"v:shapes="_x0000_i1262"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image327.png">
④
<imgwidth="106"height="84"v:shapes="_x0000_i1263"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image329.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】
设<imgwidth="18"height="18"v:shapes="_x0000_i1095"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">是一个<imgwidth="14"height="16"v:shapes="_x0000_i1096"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image002.png">阶<imgwidth="40"height="20"v:shapes="_x0000_i1097"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image082.png">阶方阵，下列陈述中正确的是（）
①
如存在数<imgwidth="16"height="20"v:shapes="_x0000_i1098"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image010.png">和向量<imgwidth="18"height="16"v:shapes="_x0000_i1099"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image084.png">使<imgwidth="72"height="20"v:shapes="_x0000_i1100"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image086.png">，则<imgwidth="18"height="16"v:shapes="_x0000_i1101"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image084.png">是<imgwidth="18"height="18"v:shapes="_x0000_i1102"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_i1103"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image010.png">的特征向量
②
如存在数<imgwidth="16"height="20"v:shapes="_x0000_i1104"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image010.png">和非零向量<imgwidth="18"height="16"v:shapes="_x0000_i1105"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image084.png">，使<imgwidth="114"height="28"v:shapes="_x0000_i1106"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image088.png">，则<imgwidth="16"height="20"v:shapes="_x0000_i1107"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image010.png">是<imgwidth="18"height="18"v:shapes="_x0000_i1108"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的特征值
③
<imgwidth="18"height="18"v:shapes="_x0000_i1109"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的2个不同的特征值可以有同一个特征向量
④
<imgwidth="64"height="26"v:shapes="_x0000_i1110"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image090.png">是<imgwidth="18"height="18"v:shapes="_x0000_i1111"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的3个互不相同的特征值，<imgwidth="70"height="26"v:shapes="_x0000_i1112"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image066.png">依次是<imgwidth="18"height="18"v:shapes="_x0000_i1113"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image004.png">的属于<imgwidth="64"height="26"v:shapes="_x0000_i1114"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image090.png">的特征向量，则<imgwidth="70"height="26"v:shapes="_x0000_i1115"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds05.files/image066.png">有可能线性相关
【单选题】
设<imgwidth="18"height="18"v:shapes="_x0000_i1383"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">为<imgwidth="14"height="16"v:shapes="_x0000_i1384"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image293.png">阶方阵，则（）不成立
①
若<imgwidth="18"height="18"v:shapes="_x0000_i1385"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">可逆，而矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1386"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">的属于特征值<imgwidth="16"height="20"v:shapes="_x0000_i1387"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image491.png">的特征向量也是矩阵<imgwidth="28"height="22"v:shapes="_x0000_i1388"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image493.png">属于特征值<imgwidth="19"height="42"v:shapes="_x0000_i1389"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image495.png">的特征向量
②
<imgwidth="18"height="18"v:shapes="_x0000_i1390"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">的全部特征向量即为方程<imgwidth="106"height="24"v:shapes="_x0000_i1391"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image497.png">的全部解
③
若<imgwidth="18"height="18"v:shapes="_x0000_i1392"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image498.png">存在属于特征值<imgwidth="16"height="17"v:shapes="_x0000_i1393"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image499.png">的<imgwidth="14"height="16"v:shapes="_x0000_i1394"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image004.png">个线性无关的特征向量，则<imgwidth="56"height="20"v:shapes="_x0000_i1395"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image501.png">
④
<imgwidth="18"height="18"v:shapes="_x0000_i1396"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image008.png">与<imgwidth="26"height="22"v:shapes="_x0000_i1397"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image503.png">有相同的特征值
【单选题】
已知随机变量<imgwidth="77"height="21"v:shapes="_x0000_i1134"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image174.png">，则随机变量<imgwidth="73"height="17"v:shapes="_x0000_i1135"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image176.png">的概率密度<imgwidth="54"height="25"v:shapes="_x0000_i1136"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image178.png">（）
①
<imgwidth="131"height="49"v:shapes="_x0000_i1137"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image180.png">
②
<imgwidth="123"height="49"v:shapes="_x0000_i1138"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image182.png">
③
<imgwidth="88"height="49"v:shapes="_x0000_i1139"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image184.png">
④
<imgwidth="123"height="49"v:shapes="_x0000_i1140"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image186.png">
【单选题】
<imgwidth="14"height="16"v:shapes="_x0000_i1251"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image293.png">阶实对称矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1252"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image285.png">的<imgwidth="14"height="16"v:shapes="_x0000_i1253"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image293.png">个行向量是一组正交单位向量组，则<imgwidth="18"height="18"v:shapes="_x0000_i1254"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image285.png">是（）
①
对称矩阵
②
正交矩阵
③
反对称矩阵
④
<imgwidth="54"height="22"v:shapes="_x0000_i1255"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image329.png">
