【单选题】
向量空间<imgwidth="216"height="28"src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQ4AAAAjCAYAAABl9OT5AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAXuSURBVHja7Vw9btw6EOYBcoAXYJnOB7C5Lv2qYCMEqYOsBVcOUgUEghxAdmcg8AXSpUuK1C6SNk1u4CI38B3yTOpR0sr8mSGpFWVM8QH2WitLMx+/+eFI7PLykhEIBAIGZAQCgUDCQSAQSDgIBAIJB4FAIOEgFI+rq3dPqhX7yRj7a4OoL16Vfg8XtXjVXbM4/UJ+JeEgTIymOXsqRN28u7p60sjqkPPqm/pZ/227PTxrmqdLuP7uZ8b+LEHsSDgIjwbvN/wj37z/uKRrvpDyHyN0CqeCfSHhIOEg7BFLX3RK+KhUIeFIgqyP33DObkMLQdf4QnyqZHP46MqQ+9JDiOrTMCL7Uv4jdvSj9NLE6UPTpwEIhy7JxOk1LfCIsvC+FHwmXnzeyuYALBzmiw+baOKPIZz1mD1HARU5GT/6/VzKkxCBVqvVr+NavlmmOFYvjzj7rW18f7828ZMb8VbdY0gYdYNx5mgdatSGfKUFgbG7ULlFwhFva/W9U8GvGeN3Pk45o7kRDJvy6OilCX1/8lq+3GvNqzvsvZD5ScZvl5ppmJ0E49zWJ/zOlmGpY0P3WlKZoksOxa9V9bNr1MrtgSG6b9FDyhUSjnRb6+A8+A5IOIyyuxzUXkx48U6mop4bGh63tEagz/59BLHb3eeT0soUV+bQZ7NubkEyJxKOdFu3gcuddaCFI3TC/aRfftHSiyggLkuIEuMMwXxuE0SfWOpspaCmouv+ev/a+aX/zvm3EPdIONJt7fqeVzhMmvxApf4XlDlTXp1CeYTLKOlSsw2fQ7tBKIcojrOOB3Vugpiqfsua8xt7zQzPPn3ib4uCXaqtAQtYSxeOuWyNWWdgleouYubIFVJCs7h84qZqvBfi2WfVFxgepxqNOq2LIJ1ytjqnamIOHdEJGfCcXbZnc7bnbz7BTxdrfq2bsxn6WR1hLTzqRCKRY1DhKJEHJdgaktmDo3op6X+oVApmJN3i243CO5ENSdz2f9rHuCF1ey7hCPWmou2d0e82cTMLODUrwghHiTwoydbo5qgtVYbuZDhVDQhIpNQ35HAotAeySxy1M1SdD0exY0sMQxxrIwo4b9E/l+ETDrswYkUKmurmLE3Hi6vzPV/f5Nqhw5QqpfCgNFuH1nxw8ZXyfIC6rro6/qCGU1yO7RYOULVtW1W5Fd58DrVfSsaBEU74teym3Hn6Nw97GDn5he1xlMCDEm3dDlmub2wjGcHFp1Rr7kaj6aaHBrmwwpE7tbedD5NtlCkcg3TeCWQZNrSP+Sxjio4VjhJ4UKqtVWmjZrbGYuP9hyU9G9BmHLzxpZLR/YRMpLU5SzXaMFvX/T14dlUylGpzZBzepnvGLf5o4ZiRByXaGpVxdOTk/FZ9KeVGJutxOByMXTh1VZ0rMcpF2nHGo1PTjXwbW5ti5jhK73H4SBu6r6mFowQelGZrdI+jX+zzDHnB6sf4XZXOudvqX3XMePtWnp2dxEadIWFksz0w75HIEbEgoujbfkuzd7oQ+aL6JBEf2hwtiAcl2Rq9qzJFsyonUuY4dFRRzpTbw81Gvh4vUpWauaK82lsPPTE4VHq+Xn91EQByzvaY/lkg87t/PgX2EBg+A0qbLRjuNLB19X1MxuGgmlrwU2/HYnmA4QCGB6XaOmqOw7fdWQJSJke7NG1AqqGTbc3XNoVVW1jsNmQXaA0JPaeuMU3DDEDaKZ8hip1mdJWrToHO8ErDkHBgeYDhQI6+TQm2jpocLRWoZ1UyL6DhK+xCEQNKFug5MbZZ6qh9Tkw1co7xF4YHS8zslykce346Vu/oCNGEhAgzrwE95757ESQc6f7C8KBURD0du+QbGtf7qQ5UaWNV1eehulu/jQu4gwI9J64Zttx3j5QuHBh/YXhQMqLex7GImwK+AWyKZuFOI0s32Z6fzEWWtg9CorGPUqVkHuTMrKLfALYEYN45qlLM3Aur717bm6r7WiBqGhHS6SfhmHKhzcuDbHaLfecogUAgQEBGIBAIJBwEAoGEg0AgkHAQCITHgP8A0oBwyhcjZTYAAAAASUVORK5CYII="/>的维数等于()
【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】
<imgwidth="356"height="24"v:shapes="图片_x0020_9"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds02.files/image009.png">
①
<imgwidth="98"height="31"v:shapes="图片_x0020_10"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds02.files/image010.png">
②
<imgwidth="50"height="23"v:shapes="图片_x0020_11"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds02.files/image011.png">
③
<imgwidth="141"height="32"v:shapes="图片_x0020_12"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds02.files/image012.png">
④
<imgwidth="126"height="26"v:shapes="图片_x0020_13"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds02.files/image013.png">
【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">