SUPERSTARWEBTECH

There is no elevator to success. You have to take the stairs. Take your first steps with SSWT!

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

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 arbitrary 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
  • 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
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

Author

Anam Afzal

Anam Afzal

Hi, I'm a Pakistani freelancer with a passion for helping businesses achieve their online goals through no-code solutions. I specialize in WordPress customization and ManyChat automation, and I'm always on the lookout for new ways to use technology to make businesses more efficient and successful. I'm also a big believer in the power of no-code tools to democratize technology and make it accessible to everyone. I'm passionate about sharing my knowledge and helping others learn how to use no-code tools to create their own websites, automate their workflows, and grow their businesses. If you're looking for a reliable and experienced no-code developer, I'm here to help. Please feel free to contact me to discuss your project requirements.
SHARE THIS POST