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1、word 文档 可自由复制编辑工程数学作业（一）答案（满分 100 分）第 2 章矩阵（一）单项选择题（每小题2 分，共 20 分）设aaabbbccc1231231232，则aaaabababccc123112233123232323（D）A.4 B.4 C.6 D.6 若000100002001001aa，则a（A）A.12B.1 C.12D.1 乘积矩阵1124103521中元素c23（C）A.1 B.7 C.10 D.8 设A B,均为n阶可逆矩阵，则下列运算关系正确的是（B）A.ABAB111B.()ABBA11C.()ABAB111D.()ABAB111设A B,均为n阶方阵，k0
2、且k1，则下列等式正确的是（D）A.ABABB.ABn A BC.kAk AD.kAkAn()下列结论正确的是（A）A.若A是正交矩阵，则A1也是正交矩阵B.若A B,均为n阶对称矩阵，则AB也是对称矩阵C.若A B,均为n阶非零矩阵，则AB也是非零矩阵D.若A B,均为n阶非零矩阵，则AB0矩阵1325的伴随矩阵为（C）A.1325B.1325|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 1 页，共 18 页word 文档 可自由复制编辑C.5321D.5321方阵A可逆的充分必要条件是（B）A.A0B.A0C.A*0D.A*0设A B C,
3、均为n阶可逆矩阵，则()ACB1（D）A.()BAC111B.B CA11C.ACB111()D.()BCA111设A B C,均为n阶可逆矩阵，则下列等式成立的是（A）A.()ABAABB2222B.()AB BBAB2C.()221111ABCCBAD.()22ABCC B A（二）填空题（每小题2 分，共 20 分）2101400017 11111111x是关于x的一个一次多项式，则该多项式一次项的系数是2 若A为34矩阵，B为25矩阵，切乘积AC B有意义，则C为54 矩阵二阶矩阵A110151051设AB124034120314,，则()AB815360设A B,均为 3 阶矩阵，且
4、AB3，则2AB72 设A B,均为 3 阶矩阵，且AB13,，则312()A B3 若Aa101为正交矩阵，则a0|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 2 页，共 18 页文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS
5、6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3
6、J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:
7、CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1
8、HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 Z
9、E3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编
10、码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9文档编码:CM6W7Z8I10N1 HS6Y4D8J8K3 ZE3J8Q9Q9A9word 文档 可自由复制编辑矩
11、阵212402033的秩为2 设AA12,是两个可逆矩阵，则AOOA1211211AOOA（三）解答题（每小题8 分，共 48 分）设ABC123511435431,，求AB；AC；23AC；AB5；AB；()ABC答案：8130BA4066CA73161732CA01222265BA122377AB801512156)(CAB设ABC121012103211114321002,，求ACBC解：10221046200123411102420)(CBABCAC已知AB310121342102111211,，求满足方程32AXB中的X解：32AXB2521127125112345117252238
12、21)3(21BAX写出 4 阶行列式|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 3 页，共 18 页文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 H
13、U5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 Z
14、A4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编
15、码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7
16、 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3
17、 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文
18、档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8word 文档 可自由复制编辑1020143602533110中元素aa4142,的代数余子式，并求其值答案：
19、0352634020)1(1441a45350631021)1(2442a用初等行变换求下列矩阵的逆矩阵：122212221；1234231211111026；1000110011101111解：（1）919292929192929291100010001919292031320323110021020112201203231900630201102012001360630221100010001122212221|2313323212312122913123222rrrrrrrrrrrrrrIA9192929291929292911A（2）35141201132051717266221A(过
20、程略)(3)11000110001100011A求矩阵1011011110110010121012113201的秩解：|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 4 页，共 18 页文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU
21、5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA
22、4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码
23、:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7
24、HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3
25、ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档
26、编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8word 文档 可自由复制编辑
27、000000001110001110110110110101110000111000111011011011011221110011100011101101101101102311210121010011011110110143424131212rrrrrrrrrr3)(AR（四）证明题（每小题4 分，共 12 分）对任意方阵A，试证AA是对称矩阵证明：)()(AAAAAAAAAA是对称矩阵若A是n阶方阵，且AAI，试证A1或1证明：A是n阶方阵，且AAI12IAAAAAA1或1A若A是正交矩阵，试证A也是正交矩阵证明：A是正交矩阵AA1)()()(111AAAA即A是正交矩阵工程数学作业（第
28、二次）(满分 100 分)第 3 章线性方程组（一）单项选择题(每小题 2 分，共 16 分)用消元法得xxxxxx12323324102的解xxx123为（C）A.,1 02B.,7 22C.,11 22D.,1122|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 5 页，共 18 页文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V
29、3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5
30、C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8
31、E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS
32、9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5
33、J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4
34、K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:
35、CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8word 文档 可自由复制编辑线性方程组xxxxxxx12313232326334（B）A.有无穷多解B.有唯一解C.无解D.只有零解向量组100010001121304,的秩为（A）A.3 B.2 C.4 D.5 设向量组为12341100001110101111,，则（B）是极大无关组A.12,B.123,C.124,D.1A与A分别代表一个线性方程组的系数矩阵和增广矩阵，若这个方程组无解，则（D）A.秩()A秩()AB.秩()A秩()AC.秩()A秩()AD.秩()A秩()A1若某个线性方程组相应的齐次线性方程组只有
36、零解，则该线性方程组（A）A.可能无解B.有唯一解C.有无穷多解D.无解以下结论正确的是（D）A.方程个数小于未知量个数的线性方程组一定有解B.方程个数等于未知量个数的线性方程组一定有唯一解C.方程个数大于未知量个数的线性方程组一定有无穷多解D.齐次线性方程组一定有解若向量组12,s线性相关，则向量组内（A）可被该向量组内其余向量线性表出A.至少有一个向量B.没有一个向量C.至多有一个向量D.任何一个向量9设 A，为n阶矩阵，既是又是的特征值，x既是又是的属于的特征向量，则结论（）成立是 AB的特征值是 A+B的特征值是 AB 的特征值x是 A+B的属于的特征向量10设，为n阶矩阵，若等式（）
37、成立，则称和相似BAABABAB)(BPAP1BPPA（二）填空题(每小题 2 分，共 16 分)|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 6 页，共 18 页文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3
38、 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文
39、档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2
40、Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10
41、P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B
42、8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6
43、O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8word 文档 可自由复制编辑当时，齐次线性方程组
44、xxxx121200有非零解向量组120 0 01 1 1,线性相关向量组1 2 31 2 01 0 00 0 0,的秩是设齐次线性方程组1122330 xxx的系数行列式1230，则这个方程组有无穷多解，且系数列向量123,是线性相关的向量组1231 00 10 0,的极大线性无关组是21,向量组12,s的秩与矩阵12,s的秩相同设线性方程组AX0中有 5 个未知量，且秩()A3，则其基础解系中线性无关的解向量有个设线性方程组AXb有解，X0是它的一个特解，且AX0的基础解系为XX12,，则AXb的通解为22110XkXkX9若是的特征值，则是方程0AI的根10若矩阵满足AA1，则称为正交矩
45、阵（三）解答题(第 1 小题 9 分，其余每小题11 分)1用消元法解线性方程组xxxxxxxxxxxxxxxx123412341234123432638502412432解：2612100090392700188710482319018431001850188710612312314112141205183612314132124131215323rrrrrrrrrrrrA3311000411004615010124420011365004110018871048231901136500123300188710482319014323133434571931213rrrrrrrrrr|精.|
46、品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 7 页，共 18 页文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8
47、文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O
48、2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O1
49、0P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8
50、B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V6O2Y7 HU5J5C6O10P3 ZA4K8E6O8B8文档编码:CS9V3V