Mathematics Matrices and Determinants Online Test

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You can prepare for Mathematics Matrices and Determinants Online Test by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

1. Minimum number of equation for any system of equations

Answer

None of these

Question 2

2.

Answer

None of these

Question 3

3. An elementary row operation on a matrix A is

Answer

Interchange of any two rows of A

Answer

Multiplication of a column of a by any nonzero scalar

Answer

Interchange of any two columns of A

Answer

Addition of any multiple of one column to another column of A

Question 4

4. If the order of matrix A is m x p. And the order of B is p x n. Then the order of AB is?

Question 5

5. A square matrix A = [aij] is supper triangular when

Answer

aij = 0 for all i > j

Question 6

6. We solve the system of non-homogeneous linear equations by:

Answer

a, b and c

Question 7

7.

Answer

II & III only

Question 8

8. If a matrix has m rows and n columns then is order is

Question 9

9. The matrix A is Hermitian when (Ā)ᵗ =

Question 10

10. (CD)ᵗ = ?

Question 11

11. If A is skew symmetric matrix, then Aᵗ =

Answer

Diagonal matrix

Question 12

12.

Question 13

13.

Answer

Even matrix

Answer

Scairar matrix

Answer

Identity matrix

Answer

Odd matrix

Question 14

14.

Question 15

15. Two matrices A and B are equal if

Answer

Both have same order

Answer

Both have same order and equal corresponding elements

Answer

Both are rectangular

Answer

Number of columns of a is equal to number of rows of B

Question 16

16. If order of matrix A is 1 x 3 then orders of Aᵗ is

Question 17

17. For trival solution |A| is:

Question 18

18. The square matrix A is skew Hermitian when (Ā)ᵗ =

Question 19

19. (AB)t = ?

Question 20

20.

Question 21

21. A square matrix A = [aij] is lower triangular matrix when:

Answer

Aij = 0 for all i < j

Question 22

22. Equation having a common solution are called

Answer

Homogeneous equations

Answer

Simultaneous equation

Answer

Linear equations

Answer

None of these

Question 23

23.

Then order of matrix A = ?

Question 24

24.

Answer

Row matrix

Answer

Zero matrix

Answer

Identity matrix

Answer

Non – diagonal matrix

Question 25

25.

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Identity matrix

Answer

None of these

Question 26

26. (ABC)’ =

Answer

C’B’A’

Question 27

27. Trival solution of homogeneous linear equation is:

Answer

a, b and c

Question 28

28. For a square matrix A if A² = A then A is called

Answer

Nilpotent matrix

Answer

Idempotent matrix

Answer

Periodic matrix

Answer

Symmetric matrix

Question 29

29. If B is additive inverse of A then

Question 30

30.

Question 31

31.

Question 32

32. The additive inverse of a matrix A is

Question 33

33.

Question 34

34. If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P’ AP is

Answer

Skew-symmetric

Question 35

35.

Question 36

36. Two matrix A and B can be added if

Answer

Both are rectangular

Answer

Number of rows of A is equal to number of columns of B

Answer

Both have same order

Answer

Number of columns of A is equal to number of rows of B

Question 37

37. For non-trival solution |A| is:

Question 38

38. The number of non-zero rows in an echlon form is called

Answer

Conjugate of the matrix

Answer

Reduced echlon form

Answer

Rank of a matrix

Answer

Cofactor of the matrix

Question 39

39. If for the matrix A, A⁵ = I, then A¯¹ =

Answer

None of these

Question 40

40. Let A = [aiJ]mxn I aj = 0 ∀i ≠ j and aj ≠ 0 for some 1 = j then matrix A is

Answer

Hermition matrix

Answer

Diagonal matrix

Answer

Symmetric matrix

Answer

None of these

Question 41

41. Matrix obtained by interchanging its rows and columns is called

Answer

None of these

Question 42

42. [-1, 4 7 2] is a

Answer

Diagonal matrix

Answer

Row matrix

Answer

Column matrix

Answer

Scalar matrix

Question 43

43.

Question 44

44. System of linear equations is inconsistent if:

Answer

System has no solution

Answer

System has two solutions

Answer

None of these

Answer

System has one solution

Question 45

45.

Answer

a = 3, b = 2

Answer

a = 3, b = 3

Answer

a = 2, b = 2

Answer

a = 2, b = 3

Question 46

46.

Question 47

47. Trivial solution of homogeneous linear equation is

Question 48

48.

Question 49

49.

Question 50

50. For a square matrix A, if A = Aᵗ, then A is called:

Answer

Non-symmetric

Question 51

51. The leading diagonal or main diagonal of a square matrix known as

Answer

None of these

Answer

The secondary diagonal

Answer

Both a and b

Answer

The principal diagonal

Question 52

52. A and B be two square matrices and if their inverse exist, the (AB)¯¹ =

Answer

B¯¹A¯¹

Answer

A¯¹B¯¹

Question 53

53. If |A| = 0, then A is

Answer

Non- singular matrix

Answer

Singular matrix

Answer

Zero matrix

Question 54

54.

Answer

a₁₁, a₂₁

Answer

a₁₁, a₁₂, a₁₃

Answer

None of these

Answer

a₂₁, a₂₂, a₂₃

Question 55

55. Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

Question 56

56. A matrix having m rows and n columns with m ≠ n is said to be a

Answer

Rectangular matrix

Answer

Square matrix

Answer

Scalar matrix

Answer

Identity matrix

Question 57

57. If the trace of a matrix A is 5, then the trace of the matrix 3A is

Question 58

58.

Answer

Column matrix

Answer

Scalar matrix

Answer

Zero matrix

Answer

Diagonal matrix

Question 59

59.

Question 60

60. If AB = BA = I and AC = CA = I then what about B and C.

Answer

None of these

Answer

They are not equal

Answer

They are equal

Answer

Each is equal to A

Question 61

61. If A and B are matrices, then which from the following is true?

Answer

A + B ≠ B + A

Answer

(A¹) ≠ A

Answer

All are true

Question 62

62. If A, B, and C are three matrices such that AB = C then which one is true?’ I = C/A, II = CA¯¹, III = A¯¹C

Answer

II and III

Question 63

63. If a is matrix of order m x n and B is a matrix of order n x p then order of AB is

Question 64

64. An equation of the form ax + by = k is homogeneous linear equation when:

Answer

b = 0, a = 0

Answer

a = 0, b ≠ 0

Answer

a = -0, a ≠ 0

Answer

a ≠ 0, b ≠ 0, k = 0

Answer 99

Scalar matrix

Answer 100

Zero matrix

Answer 101

Diagonal matrix

Answer 102

Column matrix

Answer 103

Identity matrix

Answer 104

Diagonal matrix

Answer 105

Scalar matrix

Answer 106

Null matrix

Answer 107

Skew – symmetric

Answer 108

Skew-hermitian

Answer 109

Inconsistent

Answer 110

Consistent

Answer 111

None of these

Answer 112

None of these

Answer 113

1/|A|adj A

Answer 114

None of the above

Answer 115

Skew-symmetric

Answer 116

Scalar matrix

Answer 117

Hermitian matrix

Answer 118

Square matrix

Answer 119

Rectangular matrix

Answer 120

Scalar matrix

Answer 121

Diagonal matrix

Total Questions:	82
Time Allowed:	40 Minutes
Total Marks:	82
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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