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.

Question 2

2.

Answer

a₂₁, a₂₂, a₂₃

Answer

a₁₁, a₂₁

Answer

a₁₁, a₁₂, a₁₃

Answer

None of these

Question 3

3. The transpose of a row matrix is a

Answer

Column matrix

Answer

Zero matrix

Answer

Scalar matrix

Answer

Diagonal matrix

Question 4

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

Question 5

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

Question 6

6.

Question 7

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

Answer

(A¹) ≠ A

Answer

All are true

Answer

A + B ≠ B + A

Question 8

8. Let A be a square matrix. Then, ½ (A – A) is

Answer

None of the above

Answer

Skew-symmetric

Question 9

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

Question 10

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

Answer

Rectangular matrix

Answer

Identity matrix

Answer

Square matrix

Answer

Scalar matrix

Question 11

11.

Question 12

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

Question 13

13. [0 0 0] is

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Identity matrix

Answer

Null matrix

Question 14

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

Answer

Conjugate of the matrix

Answer

Cofactor of the matrix

Answer

Reduced echlon form

Answer

Rank of a matrix

Question 15

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

Answer

Scalar matrix

Answer

Hermitian matrix

Question 16

16.

Question 17

17.

Answer

Skew-hermitian

Answer

Skew – symmetric

Question 18

18. Two matrices A and B are equal if

Answer

Both are rectangular

Answer

Both have same order and equal corresponding elements

Answer

Both have same order

Answer

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

Question 19

19.

Question 20

20.

Answer

None of these

Question 21

21.

Question 22

22. If B is additive inverse of A then

Question 23

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

Answer

Diagonal matrix

Question 24

24.

Then order of matrix A = ?

Question 25

25. An elementary row operation on a matrix A is

Answer

Multiplication of a column of a by any nonzero scalar

Answer

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

Answer

Interchange of any two rows of A

Answer

Interchange of any two columns of A

Question 26

26. If A and B are two matrices such that AB = B and BA = A, then A² + B² =

Question 27

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

Answer

Hermition matrix

Answer

None of these

Answer

Diagonal matrix

Answer

Symmetric matrix

Question 28

28. Trivial solution of homogeneous linear equation is

Question 29

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

Question 30

30.

Question 31

31.

Answer

Odd matrix

Answer

Scairar matrix

Answer

Identity matrix

Answer

Even matrix

Question 32

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

Question 33

33.

Question 34

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

Answer

None of these

Question 35

35. 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 36

36. Equation having a common solution are called

Answer

None of these

Answer

Homogeneous equations

Answer

Linear equations

Answer

Simultaneous equation

Question 37

37.

Answer

None of these

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Identity matrix

Question 38

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

Answer

Both a and b

Answer

The principal diagonal

Answer

The secondary diagonal

Answer

None of these

Question 39

39.

Question 40

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

Question 41

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

Answer

None of these

Question 42

42. The additive inverse of a matrix A is

Question 43

43. The transpose of a square matrix is a

Answer

Scalar matrix

Answer

Diagonal matrix

Answer

Square matrix

Answer

Rectangular matrix

Question 44

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

Answer

a = 0, b ≠ 0

Answer

b = 0, a = 0

Answer

a = -0, a ≠ 0

Answer

a ≠ 0, b ≠ 0, k = 0

Question 45

45.

Question 46

46. Two matrix A and B can be added if

Answer

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

Answer

Both are rectangular

Answer

Both have same order

Answer

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

Question 47

47.

Question 48

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

Answer

aij = 0 for all i > j

Question 49

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

Question 50

50.

Question 51

51. Minimum number of equation for any system of equations

Answer

None of these

Question 52

52. For trival solution |A| is:

Question 53

53. 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 54

54. 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 55

55.

Question 56

56.

Answer

Non – diagonal matrix

Answer

Row matrix

Answer

Identity matrix

Answer

Zero matrix

Question 57

57. (ABC)’ =

Answer

C’B’A’

Question 58

58.

Question 59

59. Trival solution of homogeneous linear equation is:

Answer

a, b and c

Question 60

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

Answer

B¯¹A¯¹

Answer

A¯¹B¯¹

Question 61

61. If a system of equation has a unique solution or infinitely many solution then it is known as

Answer

Consistent

Answer

Inconsistent

Answer

None of these

Question 62

62. [-1, 4 7 2] is a

Answer

Column matrix

Answer

Row matrix

Answer

Diagonal matrix

Answer

Scalar matrix

Question 63

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

Question 64

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

Answer

a, b and c

Answer 94

Column matrix

Answer 95

Scalar matrix

Answer 96

Zero matrix

Answer 97

Diagonal matrix

Answer 98

Periodic matrix

Answer 99

Idempotent matrix

Answer 100

Symmetric matrix

Answer 101

Nilpotent matrix

Answer 102

1/|A|adj A

Answer 103

None of these

Answer 104

Non-symmetric

Answer 105

II & III only

Answer 106

Zero matrix

Answer 107

Non- singular matrix

Answer 108

Singular matrix

Answer 109

None of these

Answer 110

System has one solution

Answer 111

System has no solution

Answer 112

System has two solutions

Answer 113

They are equal

Answer 114

None of these

Answer 115

They are not equal

Answer 116

Each is equal to A

Answer 117

a = 3, b = 2

Answer 118

a = 3, b = 3

Answer 119

a = 2, b = 3

Answer 120

a = 2, b = 2

Answer 121

Aij = 0 for all i < j

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