Ir9.50Given the following set of simultaneous equations, whatterminant I D I of the...

Question

Ir9.50Given the following set of simultaneous equations, whatterminant I D I of the system?TtIIt,ttTFTItItIIt0+(l)The values of the unknowns, x and y in the set of simultaneous equa-tions in Question l9 are(l) x = 2, y - -l (3) x = -2,t : -2(2) x - -l,y : 2 -t4) x : 2, | : 3(5) None, since the determinant is equal to zero.Which one of the following fourth-crder determinants is noi equiv-alent to the other four?is the de-x-2x*-2xI -l -l XXXXXXXXXXl-204-3'r -r 2 -I XXXXXXXXXXt -2-2033y- z4y-323y-42*42t'-(:l(4)ll): 2:62w:-l3w: -3I20-226-laJ-l -l -l4-303-4*2043-l -l -l XXXXXXXXXX.(2)(l)l.ql:(2)tAt:8975-l 26 -r XXXXXXXXXX7 -l XXXXXXXXXXr XXXXXXXXXX(3)l.dl6l)7 ta-l 0606-3A+1A-L--12529A XXXXXXXXXXI.q I : Gt XXXXXXXXXX_t06467-t822. Which of the. equal to zero?Question 21.)8 e -g-'7 5 _3laL-3 -6 _12determinants in(Choose your.,)4-5IJQuestion 2l would haveanswer from the choices(5)tAl:(2)(2)a solutiongiven for23' Find the varue of the foilowing fifth-order determinant:I.ql : z XXXXXXXXXX* g "51t/ -r _l 5 5-l 3 0 :10 _t XXXXXXXXXX_t4 _14(t XXXXXXXXXX XXXXXXXXXX' Find the varue of the forowing fifth-order determinant:35 _ XXXXXXXXXX_ XXXXXXXXXX_1t _9 18 _82t XXXXXXXXXX6_ XXXXXXXXXX160t.dl(cont'd)
	
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T
t
r9.
50 Given the following set of simultaneous equations, what is 
the de-
terminant D of the system?
I I 
I
y- z ll): 2
x-
:6
2x* 4y-32
3y-42 2w:-l
I
-2x -3
*42 + 3w: 
-l -l -l -l -l
(l)
I 2 I
t
t'-(:l
-3 
2 4 
 XXXXXXXXXX
,t
-4 
-l
 XXXXXXXXXX*2
-204-3'
-2
043
t
-r -I -l -l -l
(2) (4)
r 2 2
-3 
 XXXXXXXXXX
T
-t -2
-l
 XXXXXXXXXX
a
-2033
J 043
F
values y 
20.The of the unknowns, x and in the set of simultaneous 
equa-
T
tions in l9 are
Question 
- 
-l -2,t 
= = : -2
(l) y (3) 
x 2, x 
- 
-l,y : 
(2) : : 
x 2 x 2, 3
-t4) I
| 
(5) None, since the is 
determinant equal to zero.
Which 
21. one of the following fourth-crder t
determinants is noi equiv-
alent to the 
other four?
I
(l)
89
64
-3 
75
8
l.ql: t
-l -10
2 4 
-r2 -24 
6 30
I
-l 
(2)
8 7 6
I
9 5 2-r2
tAt:
 XXXXXXXXXX
t
-10 
4 8 30
0(3)
A
6l)
6
51
7 ta
-3
8
l.dl
A
-l 
0 -10
+
1A
-L-
60
30
(4)
-12
-24 
6
30
-3 
7
5
8
: 
I.q I 
Gt)
-t
_t0
2 4 
8
9
64
(5) .,)
8 
e 
-g-'
7 _3
5 
4
(2)(2)
tAl:
la
L-
-5
-6 
3 _12
IJ
22. 
Which 
of the
determinants 
in
2l 
Question would 
have
a 
solution
. 
equal 
to 
zero? (Choose 
your
answer 
from 
the 
choices
given 
for
21.)
Question 
23' Find 
the 
varue 
of the foilowing 
fifth-order 
determinant:
01000
-2 
2 -4* g "5
1t
: 
z -r 
I.ql / _l 
5 
5
-l 
3 :10 
0 _t2
-2 
_t4 
4 _14
3 
-80 
(t) 
(3) 
80 -160 
(5) 
(6) 
160
-120 
(2) 
(4) 
120
24' 
Find 
the varue 
of the 
forowing 
fifth-order 
determinant:
_55 
35 
90 
0 40
_22 
14 
27 
0 
16
t.dl
-7 
_1t 
_9 
_8
18 
2t 
33 
018 
24
-28 
33 
0 
6_32
(cont'd)-jr6 - 
(t XXXXXXXXXX) 
52 Zero XXXXXXXXXX
 XXXXXXXXXX
 XXXXXXXXXX) 
(8)
None of the above are correct.
25.Find the value of the followine fourth-order determinant:
-j4 -2+j5
jI 
2 
-jr 
-2 
j4 s-js
lel:
-t 
jI j3 
6-j7
j2 j2 
2 t4+j7
(Chooseyour 
answer from the choices for 24.)
Question 
26.Find thevalue 
of the foliowine fourth-order determinant:
' 
7a3 3a2 2a 7 
+2laa
I2 l5a 3 36a
=
l.ll 
6a 5a2 a 18a2
+3a 
^t
4a2 + d'- 5a3 + 4a a2 l2a3 + 5A-
-5 -5a'? - 
(l) 105a XXXXXXXXXX)...

David · Accepted Answer

Solution 20: 
   [
       
     
 
  
 
 
    
  
] 
 | |    |
    
     
   
|    |
    
     
    
|  (  )  |
   
    
    
|    |
    
    
    
| 
| |    (  (     (    ))   (        )    (        ))   
 (  (     (    ))  (   (    (     )) )    (    (     )))
   (  (        )    (    (     ))    (      ))    ( 
 (        )    (    (     ))    (      )) 
 | |    (        )    (   (  ))    (      (  ))    (  (  )         
 ) 
 | |                       
 | |     
   
  
  
 
    |
       
     
  
  
 
 
    
  
| 
      |
    
     
   
|    |
    
      
    
|    |
   
     
    
|    |
    
     
    
| 
      (          )   (           )   (          )   (       
       ) 
      (  )                   
      (  )
   
   
  
   
Hence x=2 
   
  
  
 
    |
      
     
 
  
  
  
    
  
| 
      |
    
      
    
|    |
    
     
    
|    |
   
     
     
|    |
    
     
     
|  
      (          )    (          )    (           )  
 (               ) 
     (   )
   
 
  
    
Hence y=-1 
Answer:  option A 
Solution 21:

Ir9.50Given the following set of simultaneous equations, whatterminant I D I of the system?TtIIt,ttTFTItItIIt0+(l)The values of the unknowns, x and y in the set of simultaneous equa-tions in Question...

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