Q1: 1. What is the order of the matrix [3 5 7; 1 2 4]?

• A) 2x2
• B) 2x3
• C) 3x2
• D) 3x3

Q2: 2. In a school, there are 150 students in three different grades. How many matrices can be formed to represent the student distribution in each grade?

• A) 3
• B) 6
• C) 9
• D) 12

Q3: 3. What is the result of matrix multiplication for matrices [2 3; 4 5] and [1 2; 3 4]?

• A) [8 14; 18 28]
• B) [7 10; 14 20]
• C) [5 8; 10 14]
• D) [10 15; 18 25]

Q4: 4. A company produces three types of products. How can you represent the production quantities using matrices?

• A) 1x3 matrix
• B) 3x1 matrix
• C) 2x2 matrix
• D) 3x3 matrix

Q5: 5. If matrix A is symmetric, what can you say about its diagonal elements?

• A) They are all equal
• B) They are all different
• C) They are always zero
• D) They are always positive

Q6: 6. Which of the following operations is NOT possible with matrices?

• A) Addition
• B) Subtraction
• C) Division
• D) Multiplication

Q7: 7. The income and expenses of a business can be represented by which type of matrix?

• A) Row matrix
• B) Square matrix
• C) Column matrix
• D) Identity matrix

Q8: 8. If two matrices are of the same order, what operation can be performed on them?

• A) Addition
• B) Subtraction
• C) Multiplication
• D) Inversion

Q9: 9. In a transportation problem, the cost matrix represents the cost of transporting goods from one location to another. What is the dimension of this matrix?

• A) 1x1
• B) 2x2
• C) nxn
• D) 3x3

Q10: 10. Which of the following matrices is the identity matrix?

• A) [1 1; 1 1]
• B) [0 1; 1 0]
• C) [1 0; 0 1]
• D) [1 1; 0 0]

Q11: 11. If matrix A is invertible, what can you say about its determinant?

• A) It is zero
• B) It is negative
• C) It is positive
• D) It is not defined

Q12: 12. The population of three cities over five years can be represented by which type of matrix?

• A) Row matrix
• B) Square matrix
• C) Column matrix
• D) Null matrix

Q13: 13. Which of the following matrices is singular?

• A) [1 2; 3 4]
• B) [1 2; 2 4]
• C) [1 0; 0 1]
• D) [0 0; 0 0]

Q14: 14. The grades of students in different subjects can be represented by which type of matrix?

• A) Diagonal matrix
• B) Zero matrix
• C) Identity matrix
• D) Rectangular matrix

Q15: 15. If matrix A is skew-symmetric, what can you say about its transpose?

• A) It is the same as matrix A
• B) It is the negative of matrix A
• C) It is the inverse of matrix A
• D) It is the zero matrix

Q16: 16. The scoring pattern of a basketball team in different matches can be represented by which type of matrix?

• A) Row matrix
• B) Square matrix
• C) Column matrix
• D) Null matrix

Q17: 17. Which of the following matrices is not a diagonal matrix?

• A) [3 0; 0 4]
• B) [1 0; 0 2]
• C) [4 0; 0 0]
• D) [0 5; 0 0]

Q18: 18. In a network analysis, the adjacency matrix represents the connections between different nodes. What is the dimension of this matrix?

• A) 2x2
• B) 3x3
• C) nxn
• D) 1x1

Q19: 19. Which of the following matrices is not invertible?

• A) [1 2; 2 4]
• B) [1 0; 0 1]
• C) [3 1; 1 3]
• D) [0 1; 1 0]

Q20: 20. The monthly sales of a company across different regions can be represented by which type of matrix?

• A) Row matrix
• B) Square matrix
• C) Column matrix
• D) Null matrix

Q21: 21. Which of the following matrices is not a scalar matrix?

• A) [4 0; 0 4]
• B) [1 0; 0 1]
• C) [2 0; 0 2]
• D) [1 0; 0 2]

Q22: 22. The temperature readings at different locations can be represented by which type of matrix?

• A) Row matrix
• B) Square matrix
• C) Column matrix
• D) Null matrix

Q23: 23. Which of the following matrices is not a symmetric matrix?

• A) [1 2; 2 1]
• B) [0 1; 1 0]
• C) [3 4; 4 3]
• D) [1 0; 0 1]

Q24: 24. The attendance records of students in different classes can be represented by which type of matrix?

• A) Diagonal matrix
• B) Zero matrix
• C) Identity matrix
• D) Rectangular matrix

Q25: 25. If matrix A is orthogonal, what can you say about its inverse?

• A) It is the same as matrix A
• B) It is the negative of matrix A
• C) It is the transpose of matrix A
• D) It is the zero matrix