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

Answer

Aij = 0 for all i < j

Question 2

2. (AB)t = ?

Question 3

3. Trival solution of homogeneous linear equation is:

Answer

a, b and c

Question 4

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

Answer

Column matrix

Answer

Row matrix

Answer

Scalar matrix

Answer

Diagonal matrix

Question 5

5. 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 not equal

Answer

They are equal

Question 6

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

Answer

Non-symmetric

Question 7

7. 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 8

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

Answer

1/|A|adj A

Answer

None of these

Question 9

9.

Question 10

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

Question 11

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

Answer

Non- singular matrix

Answer

Zero matrix

Answer

Singular matrix

Question 12

12.

Question 13

13.

Question 14

14.

Question 15

15. 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 16

16. An elementary row operation on a matrix A is

Answer

Interchange of any two columns 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

Answer

Interchange of any two rows of A

Question 17

17. 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 18

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

Answer

Scalar matrix

Answer

Hermitian matrix

Question 19

19.

Question 20

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

Question 21

21. System of linear equations is inconsistent if:

Answer

System has one solution

Answer

None of these

Answer

System has two solutions

Answer

System has no solution

Question 22

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

Question 23

23. The transpose of a row matrix is a

Answer

Zero matrix

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Column matrix

Question 24

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

Answer

Idempotent matrix

Answer

Nilpotent matrix

Answer

Periodic matrix

Answer

Symmetric matrix

Question 25

25.

Question 26

26.

Question 27

27.

Answer

Identity matrix

Answer

Non – diagonal matrix

Answer

Zero matrix

Answer

Row matrix

Question 28

28. Two matrices A and B are equal if

Answer

Both are rectangular

Answer

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

Answer

Both have same order and equal corresponding elements

Answer

Both have same order

Question 29

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

Answer

Diagonal matrix

Answer

None of these

Answer

Hermition matrix

Answer

Symmetric matrix

Question 30

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

Answer

None of these

Question 31

31.

Answer

None of these

Question 32

32.

Answer

Column matrix

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Zero matrix

Question 33

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

Question 34

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

Answer

None of the above

Answer

Skew-symmetric

Question 35

35.

Question 36

36. If B is additive inverse of A then

Question 37

37. For trival solution |A| is:

Question 38

38.

Answer

a₁₁, a₁₂, a₁₃

Answer

a₂₁, a₂₂, a₂₃

Answer

a₁₁, a₂₁

Answer

None of these

Question 39

39.

Answer

Even matrix

Answer

Identity matrix

Answer

Scairar matrix

Answer

Odd matrix

Question 40

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

Question 41

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

Question 42

42.

Question 43

43. 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 44

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

Question 45

45.

Question 46

46. Two matrix A and B can be added if

Answer

Both are rectangular

Answer

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

Answer

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

Answer

Both have same order

Question 47

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

Answer

aij = 0 for all i > j

Question 48

48. The transpose of a square matrix is a

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Rectangular matrix

Answer

Square matrix

Question 49

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

Question 50

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

Answer

a = 0, b ≠ 0

Answer

a = -0, a ≠ 0

Answer

a ≠ 0, b ≠ 0, k = 0

Answer

b = 0, a = 0

Question 51

51. [0 0 0] is

Answer

Scalar matrix

Answer

Identity matrix

Answer

Diagonal matrix

Answer

Null matrix

Question 52

52.

Question 53

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

Question 54

54. 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 55

55.

Answer

Diagonal matrix

Answer

Scalar matrix

Answer

Identity matrix

Answer

None of these

Question 56

56.

Answer

Skew – symmetric

Answer

Skew-hermitian

Question 57

57. Equation having a common solution are called

Answer

None of these

Answer

Homogeneous equations

Answer

Simultaneous equation

Answer

Linear equations

Question 58

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

Question 59

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

Answer

The principal diagonal

Answer

Both a and b

Answer

None of these

Answer

The secondary diagonal

Question 60

60. 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 61

61.

Question 62

62.

Answer

II & III only

Question 63

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

Answer

a, b and c

Question 64

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

Answer

Diagonal matrix

Answer 106

a = 3, b = 3

Answer 107

a = 3, b = 2

Answer 108

a = 2, b = 3

Answer 109

a = 2, b = 2

Answer 110

None of these

Answer 111

None of these

Answer 112

Inconsistent

Answer 113

Consistent

Answer 114

B¯¹A¯¹

Answer 115

A¯¹B¯¹

Answer 116

C’B’A’

Answer 117

Square matrix

Answer 118

Identity matrix

Answer 119

Scalar matrix

Answer 120

Rectangular matrix

Answer 121

None of these

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:

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:

Related Content

Mustansar Khan

Leave a Reply Cancel reply