Mathematics Matrices and Determinants Online Test

Q: How can I prepare for Mathematics Matrices and Determinants Online Test?

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. An elementary row operation on a matrix A is

Answer

Multiplication of a column of a by any nonzero scalar

Answer

Interchange of any two rows of A

Answer

Interchange of any two columns of A

Answer

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

Question 2

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

Answer

Singular matrix

Answer

Zero matrix

Answer

Non- singular matrix

Question 3

3. 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 4

4. If A = [aij] is (m x n) matrix, then transpose of A is of the order.

Question 5

5.

Answer

a = 3, b = 2

Answer

a = 2, b = 3

Answer

a = 2, b = 2

Answer

a = 3, b = 3

Question 6

6. (ABC)’ =

Answer

C’B’A’

Question 7

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

Answer

Rank of a matrix

Answer

Reduced echlon form

Answer

Conjugate of the matrix

Answer

Cofactor of the matrix

Question 8

8.

Question 9

9.

Answer

Identity matrix

Answer

None of these

Answer

Diagonal matrix

Answer

Scalar matrix

Question 10

10. The transpose of a row matrix is a

Answer

Diagonal matrix

Answer

Column matrix

Answer

Zero matrix

Answer

Scalar matrix

Question 11

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

Answer

a, b and c

Question 12

12.

Then order of matrix A = ?

Question 13

13. (CD)ᵗ = ?

Question 14

14. If B is additive inverse of A then

Question 15

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

Question 16

16. Trival solution of homogeneous linear equation is:

Answer

a, b and c

Question 17

17. The transpose of a square matrix is a

Answer

Diagonal matrix

Answer

Square matrix

Answer

Rectangular matrix

Answer

Scalar matrix

Question 18

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

Answer

Diagonal matrix

Question 19

19.

Question 20

20. Two matrix A and B can be added if

Answer

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

Answer

Both are rectangular

Answer

Both have same order

Answer

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

Question 21

21. Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

Question 22

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

Question 23

23. Equation having a common solution are called

Answer

Linear equations

Answer

Simultaneous equation

Answer

None of these

Answer

Homogeneous equations

Question 24

24. If A is null matrix, then A/|A| is

Question 25

25.

Answer

a₁₁, a₁₂, a₁₃

Answer

None of these

Answer

a₁₁, a₂₁

Answer

a₂₁, a₂₂, a₂₃

Question 26

26. A matrix A over the filed C in which (A)ᵗ is called

Answer

Scalar matrix

Answer

Hermitian matrix

Question 27

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

Answer

Non-symmetric

Question 28

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

Answer

a = 0, b ≠ 0

Answer

a = -0, a ≠ 0

Answer

b = 0, a = 0

Answer

a ≠ 0, b ≠ 0, k = 0

Question 29

29. The order of the matrix A is 3 x 5 and that of B is 2 x 3. The order of the matrix BA is

Question 30

30.

Question 31

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

Question 32

32.

Question 33

33.

Question 34

34.

Question 35

35. If A is non – singular matrix then (A¯¹)¯¹ = ?

Question 36

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

Answer

All are true

Answer

(A¹) ≠ A

Answer

A + B ≠ B + A

Question 37

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

Question 38

38. For trival solution |A| is:

Question 39

39.

Question 40

40.

Question 41

41.

Answer

None of these

Question 42

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

Question 43

43.

Question 44

44.

Answer

Column matrix

Answer

Scalar matrix

Answer

Zero matrix

Answer

Diagonal matrix

Question 45

45.

Answer

Skew-hermitian

Answer

Skew – symmetric

Question 46

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

Answer

B¯¹A¯¹

Answer

A¯¹B¯¹

Question 47

47. The square matrix A is skew-symmetric when Aᵗ = 0

Question 48

48. Trivial solution of homogeneous linear equation is

Question 49

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

Answer

Square matrix

Answer

Scalar matrix

Answer

Identity matrix

Answer

Rectangular matrix

Question 50

50. 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 51

51. For any non-Singular r matrix A, A¯¹ =

Answer

1/|A|adj A

Answer

None of these

Question 52

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

Answer

None of these

Question 53

53.

Question 54

54. Two matrices A and B are equal if

Answer

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

Answer

Both have same order

Answer

Both are rectangular

Answer

Both have same order and equal corresponding elements

Question 55

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

Answer

None of these

Question 56

56. 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 57

57. The additive inverse of a matrix A is

Question 58

58. (AB)t = ?

Question 59

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

Answer

None of these

Answer

Symmetric matrix

Answer

Diagonal matrix

Answer

Hermition matrix

Question 60

60.

Answer

Scairar matrix

Answer

Odd matrix

Answer

Identity matrix

Answer

Even matrix

Question 61

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

Answer

Both a and b

Answer

The secondary diagonal

Answer

The principal diagonal

Answer

None of these

Question 62

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

Question 63

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

Answer

None of these

Answer

Each is equal to A

Answer

They are equal

Answer

They are not equal

Question 64

64.

Answer 93

Zero matrix

Answer 94

Row matrix

Answer 95

Identity matrix

Answer 96

Non – diagonal matrix

Answer 97

Diagonal matrix

Answer 98

Row matrix

Answer 99

Scalar matrix

Answer 100

Column matrix

Answer 101

aij = 0 for all i > j

Answer 102

Null matrix

Answer 103

Scalar matrix

Answer 104

Identity matrix

Answer 105

Diagonal matrix

Answer 106

Aij = 0 for all i < j

Answer 107

Skew-symmetric

Answer 108

None of the above

Answer 109

Nilpotent matrix

Answer 110

Idempotent matrix

Answer 111

Symmetric matrix

Answer 112

Periodic matrix

Answer 113

II & III only

Answer 114

None of these

Answer 115

None of these

Answer 116

Inconsistent

Answer 117

Consistent

Answer 118

None of these

Answer 119

System has two solutions

Answer 120

System has no solution

Answer 121

System has one solution

Total Questions:	82
Time Allowed:	40 Minutes
Total Marks:	82
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	ECAT Entry Test Math Online Test Interview Questions about Math All Universities Entrance Test Recruitments Tests

Mathematics Matrices and Determinants Online Test

Important Math Matrices and Determinants Question and Answer

Math Matrices and Determinants Practice Test Online With Explanation

Math

How to Score High in Mathematics Matrices and Determinants Online Test?

Key Preparation Tips:

More Related Resources

Mustansar Khan

Leave a Reply Cancel reply

Important Math Matrices and Determinants Question and Answer

Math Matrices and Determinants Practice Test Online With Explanation

Math

How to Score High in Mathematics Matrices and Determinants Online Test?

Key Preparation Tips:

More Related Resources

Latest Updates

Mustansar Khan

Leave a Reply Cancel reply