1. The order of the matrix [1 2 3; 4 5 6] is
Answer: A. 2 × 3
Mathematics Class 10 Unit 3: Matrices and Determinants MCQs
36 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
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2. A matrix having an equal number of rows and columns is called a
Answer: B. square matrix
3. The matrix [1 2 3] is a
Answer: C. row matrix
4. A matrix in which every element is zero is called a
Answer: D. null matrix
5. The identity matrix of order 2 is
Answer: A. [1 0; 0 1]
6. [1 2; 3 4] + [2 0; 1 1] equals
Answer: D. [3 2; 4 5]
7. [5 3; 2 1] − [1 1; 1 1] equals
Answer: C. [4 2; 1 0]
8. 3[1 2; 0 −1] equals
Answer: B. [3 6; 0 −3]
9. The transpose of [1 2; 3 4] is
Answer: A. [1 3; 2 4]
10. The additive inverse of [1 −2; 3 0] is
Answer: B. [−1 2; −3 0]
11. [1 2; 3 4] × [1 0; 0 1] equals
Answer: C. [1 2; 3 4]
12. [1 2; 0 1] × [3 1; 1 0] equals
Answer: D. [5 1; 1 0]
13. [2 3; 1 4] × [1; 2] equals
Answer: C. [8; 9]
14. If [2 0; 0 2] is multiplied by itself, the result is
Answer: B. [4 0; 0 4]
15. The product AB of two matrices is defined only if
Answer: A. number of columns of A = number of rows of B
16. If A is of order 2 × 3 and B is of order 3 × 2, then AB is of order
Answer: D. 2 × 2
17. The determinant of [a b; c d] is
Answer: D. ad − bc
18. The determinant of [3 2; 1 4] is
Answer: C. 10
19. The determinant of [2 4; 1 2] is
Answer: B. 0
20. The determinant of the identity matrix of order 2 is
Answer: A. 1
21. A matrix is said to be singular if its determinant is
Answer: D. zero
22. Which of the following matrices is singular?
Answer: C. [2 4; 1 2]
23. If |x 2; 3 4| = 2, then x equals
Answer: B. 2
24. The adjoint of [a b; c d] is
Answer: A. [d −b; −c a]
25. The inverse of a non-singular matrix A is given by
Answer: B. (1/|A|) adj A
26. The inverse of [2 1; 1 1] is
Answer: D. [1 −1; −1 2]
27. The inverse of [3 0; 0 2] is
Answer: C. [1/3 0; 0 1/2]
28. If [x 2; 3 y] = [4 2; 3 5], then the values of x and y are
Answer: A. x = 4, y = 5
29. In Cramer's rule, the solution of ax + by = p, cx + dy = q gives x equal to
Answer: C. |p b; q d| / |a b; c d|
30. The solution of x + y = 5 and x − y = 1 is
Answer: D. x = 3, y = 2
31. The solution of 2x + y = 5 and x − y = 1 is
Answer: B. x = 2, y = 1
32. The solution of 2x + 3y = 8 and x − y = −1 is
Answer: A. x = 1, y = 2
33. In the matrix inversion method, the system AX = B has the solution
Answer: C. X = A⁻¹B
34. A system of two linear equations has a unique solution by Cramer's rule when the determinant of the coefficient matrix is
Answer: B. not zero
35. The matrix [a b; b d] is called a
Answer: D. symmetric matrix
36. The inverse of the identity matrix I is
Answer: A. I
About Mathematics Class 10 Unit 3 MCQs (Federal Board)
These 36 Mathematics MCQs cover Class 10 Unit 3: Matrices and Determinants of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Matrices and Determinants MCQs as a PDF using the button at the top of this page.