Sunday, 22 March 2020

MTH501-Linear Algebra Quiz MCQs Lecture 1-22 Midterm Objective Questions | SUPERSTARWEBTECH


MTH501-Linear Algebra Quiz  MCQS #Objective #Questions #Midterm

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:
x1=0=x2
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 : 0x-0y=-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 Row-Reduce form is
( 1 2 | -1 )
0 0 h-3k
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, 2x-y=0;
the solution set is ___
  • Real line ℝ
  • Line through origin in ℝ2
  • Line through origin in ℝ3
  • Any orbitrary line in ℝ2
10.Set
{ ( 1 ) , ( 0 ) } is Linearly ___ in ℝ2
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 
  • 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
15. Which of the following is true about the existence of free variables (parameter) in a system of Linear Equations?
  • They guarantee the Consistency
  • They guarantee the inconsistency
  • They do not guarantee the consistency
  • None
16. Slope and y-intercept 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
17. The equation 0x-0y=0 has ___ solution(s).
  • No 
  • Unique
  • Infinite many
  • multiple finite