Đề thi UEH đề THI THỬ đại số TUYẾN TÍNH mã đề 115

C
CM
BAN QU N TR FANPAGE
THI UEH
CHÍNH TH C
( thi có 04 trang)

THI TH
MÔN
h i gian
i

T TH C H C PH N
I S TUY N TÍNH
h t h ng th i gian h t
Mã đ thi 115

H v t n: ....................................................................................................
sinh:.......................................... MSSV: .............................................
p: .................................................. STT: .................................................

C

C

PH N TR C NGHI M
THÍ SINH CH N
P N
1
2
3

4
5

NG R I
6
7

NH D U CH O
8
9
10

V O B NG TR
I
11
12
13
14

I M

A
B
C
D
Câu 1: i s A và B l các ma tr n vuôn c p n th a mãn B. A  0 và A  0, B  0 (0 l ma tr n khôn ) hi
đó:
A. B2 A2  0.
2
B.  AB  0.

C. A và B đ u su bi n
D. t c đ u đún
Câu 2: Cho h ph n trình tu n tính AX  B v i Anm , n u h ph n trình có n hi m du nh t thì:
A. m n
B. n  m
C.
véct c t c a A l h đ c l p tu n tính
D.
véct dòn c a A l h đ c l p tu n tính
Câu 3: Cho khôn ian véct V có chi u b n 3, bi t x, y, z, t  V và x, y đ c l p tu n tính h n đ nh
n o sau đâ luôn đún ?
B. V  x, y, z.
A. p x, y, z, t ph thu c tu n tính
D. x, y, x  y sinh ra khôn ian ba chi u
C. V  x, y, x  2 y.
Câu 4:

n t t c các ph n t tr n đ

ma tr n A100.
A. 2100
Câu 5: Cho h ph

n chéo

B. 4100

x 

n trình tu n tính 2 x 

x 


đ h I có n hi m l :
A. 5a  2b  c

B. a  5b  2c

1 0 0
i l v t c a ma tr n Cho ma tr n A  2 1 0. ìm v t c a
3 2 2
C. 4100  2100

2y 
6y 
2y 

3z 
11z 
7z 

C. a  2b  7c

D.

a
b
c

I v

t c đ u sai

i a , b, c.

i u ki n c a a , b, c

D. 5b  2a  c

Trang 1/4 - Mã đ thi 115


1 1 1
Câu 6: Cho ma tr n A   0 1 1  và f x  2x2  4x  3. ính đ nh th c c a ma tr n f  A.
 0 0  1
B.  45
C. 20
D. t c đ u sai
A. 15
Câu 7: Cho L  A1 , A2 , A3 , A4  và M  L. hi đó, M đ c i l m t h con đ c l p tu n tính t i đ i (ho c
c c đ i) c a L n u:
A. M đ c l p tu n tính
B. M đ c l p tu n tính v m i h con đ c l p tu n tính c a L đ u có s véct nh h n ha b n s
vector trong M.
C. rank ( M )  4.
D. M i véct tron L đ u l t h p tu n tính c a nh n véct tron M.
Câu 8: h m dò 00 khách h n t i si u th , ta có k t qu sau: 80 khách mua nhãn hi u A, 60 khách mua
nhãn hi u B, 50 khách mua nhãn hi u C, 30 khách mua c A v B, 4 khách mua c A v C, 0 khách mua c
B v C, 8 khách mua c A, B, C hát bi u n o d i đâ l đún :
A. 90 khách mua đún

nhãn hi u
B. 00 khách mua ít nh t nhãn hi u
C. 50 khách mua đún
nhãn hi u
D. t c đ u sai
1 0 0 3 
2 3 0 4 
. V i iá tr n o c a k thì r  A  3 ?
Câu 9: Cho ma tr n A  
 4 2 5 6 


 1 k  1 4 k  5
A. V i m i iá tr c a k.
B. k  5
D. k  1
C. hôn t n t i iá tr k th a mãn đ b i
Câu 10: i s h ph n trình tu n tính AX  B (có n ph n trình v n n s ) l h vô n hi m hát bi u
n o sau đâ l sai:
A. Ma tr n A l ma tr n su bi n
B. Véct c t B n m tron khôn ian con sinh b i h véct c t c a A.
C.
véct c t c a ma tr n A l h ph thu c tu n tính
D.
véct dòn c a ma tr n A khôn ph i l c s c a n.
2 0 5 7 
2 2 4 4
. ìm iá tr c a m đ đ nh th c A chia h t cho 7 bi t r n các s 057,
Câu 11: Cho ma tr n A  
9 0 m 4



5 5 2 5 
44, 55 5 chia h t cho 7
A. m  4
B. m  3
C. m  7
D. m  2
Câu 12: Cho A l ma tr n vuôn c p 4 có h n l 3 M nh đ n o sau đâ l sai:
A. hôn ian con sinh b i h các vect dòn c a A l khôn ian con c a 3.
B. det A  0.
C.
vect dòn c a ma tr n A l h vect ph thu c tu n tính
D. ron h vect c t c a A có m t c t l t h p tu n tính c a các c t còn l i
1

1 a 0 0
. ính đ nh th c A bi t r n
a , b, c  0
Câu 13: Cho ma tr n A  


1 0 b 0
a a  1 bb  1 cc  1


1 0 0 c 
đ t iá tr nh nh t
A. a  b  c ab  bc  ca 
B. 27  1

C. 271  
D. T t c đ u sai
Câu 14: V i iá tr n o c a m thì h ph n trình sau có n hi m khôn t m th n ?
Trang 2/4 - Mã đ thi 115


 x
2 x


 3x
4 x
A. m 

12
3

PH N T

B. m 

14
3

 y  z  t 
 3 y  4z  t 
 y  2 z  5t 
 6 y  3z  mt 

0

0
0
0

C. m  3

D. m  5

U N

y  mz  1
 x 

Câu 1: Cho h ph n trình 2 x  m  1 y  z  3
2 x 
y  z  3

a. V i m n o thì h ph n trình ( ) l h Cramer i i h
b. H ph n trình ( ) vô đ nh v i nh n iá tr m n o?
Câu 2: Xét mô hình Input – Output m
m 3 n nh kinh t
 0,1 0,3

A   0,4 0,2
 0,2 0,3


1 (m l

tham s )

v i m tìm đ

c

v i ma tr n h s đ u v o:
0,2 

0,3 
0,1 

i i thích ý n h a c a a32  0,3 và tìm m c s n l n c a 3 n nh n u bi t u c u c a n nh kinh t m
đ i v i ba n nh kinh t tr n l : 8, 5 , 96.
b. N u đ u ra c a n nh kinh t th 3 l 50 đ n v thì nó c n n u n li u l t n nh kinh t th
v th
bao nhi u đ n v ?

a.

----------H T---------...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................

...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
Trang 3/4 - Mã đ thi 115


...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................

...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
...................................................................................................................................................................................
Trang 4/4 - Mã đ thi 115