^{}
1. Which of the following system will have a trivial solution?
 x = y = 1
 x = 1, y = 0
 x = 0, y = 1 ✔
 x = y = 0
2.
(  cosΘ  sinΘ  )^{1}= 
sinΘ  cosΘ 

( cosΘ sinΘ ) sinΘ cosΘ 
( cosΘ sinΘ ) sinΘ cosΘ 
( cosΘ sinΘ ) sinΘ cosΘ 
( cosΘ sinΘ ) ✔ sinΘ cosΘ
3. The system of equations:
x_{1}=0=x_{2}
can be expressed in the form
 Ax=0 ✔
 Ax=b
 Ax=0, By=1
 Ax=1, By=0
4. Which of the following is Row – Equivalent of
(  3  4  )? 
1  2 

( 2 4 ) 1 3 
( 3 1 ) 4 2 
( 4 3 ) 2 1 
( 1 2 ) ✔ 3 4
5. The system of equations : y=0 and x=5 has ___ solution(s).
 No
 Unique ✔
 Infinite many
 distinct multiple
6. The equation : 0x0y=5 has ___ solution(s)
 No ✔
 Unique
 Infinite many
 distinct finite
7. Which of the following is an example of Matrix in reduced Echelon form?

( 0 1 ) 1 0 
( 0 0 ) 1 1 
( 1 0 ) ✔ 0 1 
( 0 1 ) 0 1
8. Under which of the following condition, a system of Linear Equations whose RowReduce form is
(  1  2    1  ) 
0  0  h3k 
has Infinite many solutions?
 h=3k ✔
 h ≠ 3k
 (h,k) = (0,0)
 (h,k) ≠(0,0)
9. For the following system of Equation:
x+2y = 0, 2xy=0;
the solution set is ___
 Real line ℝ
 Line through origin in ℝ^{2}
 Line through origin in ℝ^{3}
 Any arbitrary line in ℝ^{2} ✔
10.Set
{  (  1  )  ,  (  0  )  } is Linearly ___ in ℝ^{2} 
2  0 
 Independent ✔
 Dependent
11. The value of x satisfying the equation:
  x  2   = x   5  2  , is 
3  1  3  1 
 3 ✔
 3
 6
 6
12. Which of the following would be the value of t, if
[  2e^{3t}  ] = [  2  ]? 
5e^{3t}  5 
 ∓1/3
 1
 2/5
 zero ✔
13. Which of the following corresponding Matrix form of the Linear equation x+y=3?

x ( 1 ) + y ( 0 ) = 3 ( 1 ) 0 1 0 
x ( 1 ) + y ( 0 ) = 3 ( 0 ) 0 1 1  x 1 + y 1 = 3 1 ✔
 can’t be expressed in Matrix form
14. Vectors
(  2  ) and (  66  ) 
3  99 
are linearly?
 Dependent ✔
 Independent
 They guarantee the Consistency ✔
 They guarantee the inconsistency
 They do not guarantee the consistency
 None
16. Slope and yintercept of the line: 2x+3y=1 ___ respectively
 2/3 and 1/3 ✔
 2/3 and 1/3
 2/3 and 1/3
 2/3 and 1/3
 No
 Unique
 Infinite many ✔
 multiple finite