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.

Question 3

3.

Question 4

4. Trivial solution of homogeneous linear equation is

Question 5

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

Answer

a, b and c

Question 6

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

Answer

Hermitian matrix

Answer

Scalar matrix

Question 7

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

Answer

A¯¹B¯¹

Answer

B¯¹A¯¹

Question 8

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

Answer

Symmetric matrix

Answer

Diagonal matrix

Answer

None of these

Answer

Hermition matrix

Question 9

9.

Question 10

10. An elementary row operation on a matrix A is

Answer

Interchange of any two columns of A

Answer

Interchange of any two rows of A

Answer

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

Answer

Multiplication of a column of a by any nonzero scalar

Question 11

11.

Question 12

12.

Question 13

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

Answer

Aij = 0 for all i < j

Question 14

14. 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 15

15.

Answer

a₂₁, a₂₂, a₂₃

Answer

a₁₁, a₂₁

Answer

None of these

Answer

a₁₁, a₁₂, a₁₃

Question 16

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

Answer

None of these

Answer

1/|A|adj A

Question 17

17.

Answer

None of these

Question 18

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

Question 19

19.

Answer

Odd matrix

Answer

Even matrix

Answer

Scairar matrix

Answer

Identity matrix

Question 20

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

Answer

Both a and b

Answer

None of these

Answer

The principal diagonal

Answer

The secondary diagonal

Question 21

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

Answer

aij = 0 for all i > j

Question 22

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

Question 23

23. 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 24

24. (ABC)’ =

Answer

C’B’A’

Question 25

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

Answer

Non- singular matrix

Answer

Zero matrix

Answer

Singular matrix

Question 26

26.

Question 27

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

Answer

Rank of a matrix

Answer

Cofactor of the matrix

Answer

Reduced echlon form

Answer

Conjugate of the matrix

Question 28

28.

Then order of matrix A = ?

Question 29

29.

Question 30

30.

Answer

II & III only

Question 31

31.

Answer

Scalar matrix

Answer

None of these

Answer

Identity matrix

Answer

Diagonal matrix

Question 32

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

Answer

Non-symmetric

Question 33

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

Question 34

34. Minimum number of equation for any system of equations

Answer

None of these

Question 35

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

Question 36

36.

Answer

Skew – symmetric

Answer

Skew-hermitian

Question 37

37. 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 38

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

Question 39

39. For trival solution |A| is:

Question 40

40.

Question 41

41. 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 42

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

Answer

a ≠ 0, b ≠ 0, k = 0

Answer

a = 0, b ≠ 0

Answer

b = 0, a = 0

Answer

a = -0, a ≠ 0

Question 43

43. Two matrices A and B are equal if

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

Answer

Both have same order

Question 44

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

Answer

Skew-symmetric

Answer

None of the above

Question 45

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

Question 46

46. [0 0 0] is

Answer

Identity matrix

Answer

Null matrix

Answer

Scalar matrix

Answer

Diagonal matrix

Question 47

47. Trival solution of homogeneous linear equation is:

Answer

a, b and c

Question 48

48. Equation having a common solution are called

Answer

Homogeneous equations

Answer

None of these

Answer

Simultaneous equation

Answer

Linear equations

Question 49

49.

Question 50

50. System of linear equations is inconsistent if:

Answer

System has one solution

Answer

System has two solutions

Answer

None of these

Answer

System has no solution

Question 51

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

Question 52

52. The transpose of a square matrix is a

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Square matrix

Answer

Rectangular matrix

Question 53

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

Question 54

54. The transpose of a row matrix is a

Answer

Zero matrix

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Column matrix

Question 55

55. 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 56

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

Answer

None of these

Question 57

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

Question 58

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

Question 59

59. (AB)t = ?

Question 60

60. In matrix multiplication for A and B, (AB)ᵗ is

Question 61

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

Answer

Symmetric matrix

Answer

Nilpotent matrix

Answer

Idempotent matrix

Answer

Periodic matrix

Question 62

62.

Question 63

63.

Answer

Row matrix

Answer

Identity matrix

Answer

Zero matrix

Answer

Non – diagonal matrix

Question 64

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

Answer

Each is equal to A

Answer

They are equal

Answer

They are not equal

Answer

None of these

Answer 97

Square matrix

Answer 98

Rectangular matrix

Answer 99

Scalar matrix

Answer 100

Identity matrix

Answer 101

Zero matrix

Answer 102

Scalar matrix

Answer 103

Column matrix

Answer 104

Diagonal matrix

Answer 105

Diagonal matrix

Answer 106

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

Answer 107

Both are rectangular

Answer 108

Both have same order

Answer 109

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

Answer 110

a = 2, b = 3

Answer 111

a = 2, b = 2

Answer 112

a = 3, b = 2

Answer 113

a = 3, b = 3

Answer 114

Diagonal matrix

Answer 115

Column matrix

Answer 116

Row matrix

Answer 117

Scalar matrix

Answer 118

None of these

Answer 119

None of these

Answer 120

Consistent

Answer 121

Inconsistent

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