## 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