In a unit matrix diagonal elements are:
- 3
- 2
- Unit (one)
- Zero
Show answer and explanation
Answer: C. Unit (one)
A unit matrix has 1s on its main diagonal.
Matric General Mathematics: Matrices, questions with answers
Practise 21 real Federal Board questions on Matrices from 2023 to 2026. See the answer and explanation as soon as you answer.
21real questions
8multiple choice
5exam sessions
About Matrices in Matric General Mathematics
Matrices is one of the 9 main chapters in our Federal Board Matric General Mathematics question bank (10th class), and about 6% of its real questions come from it. Tayyari Karo has 21 real questions on this chapter from 2023 to 2026; 8 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 13 medium, 8 easy.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
Try 8 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
In matrices (AB)′ = ?
- B′A′
- A
- A′B′
- B
Show answer and explanation
Answer: A. B′A′
Reversal law of transpose: (AB)′ = B′A′.
In matrices (AB)⁻¹ = ______
- A⁻¹
- B⁻¹
- A⁻¹B⁻¹
- B⁻¹A⁻¹
Show answer and explanation
Answer: D. B⁻¹A⁻¹
(AB)⁻¹ = B⁻¹A⁻¹.
If A′ = A, then matrix A is called:
- Symmetric matrix
- Skew symmetric matrix
- Transpose
- Square matrix
Show answer and explanation
Answer: A. Symmetric matrix
A′ = A defines a symmetric matrix.
In matrices (AB)⁻¹ =
- A⁻¹
- B⁻¹
- B⁻¹A⁻¹
- A⁻¹B⁻¹
Show answer and explanation
Answer: C. B⁻¹A⁻¹
Reversal law of inverse: (AB)⁻¹ = B⁻¹A⁻¹.
If A′ = −A then A is called:
- Negative matrix
- Skew symmetric matrix
- Symmetric matrix
- Square matrix
Show answer and explanation
Answer: B. Skew symmetric matrix
A′ = −A defines a skew-symmetric matrix.
Verify for given matrices: (A + B)′ = A′ + B′, A = [[2,4],[1,5]], B = [[3,−2],[4,6]]
Show model answer
A + B = [[5,2],[5,11]]; (A + B)′ = [[5,5],[2,11]].
A′ + B′ = [[2,1],[4,5]] + [[3,4],[−2,6]] = [[5,5],[2,11]].
Equal. Verified.
If B = [[2,1],[−2,4]], C = [[−1,2],[4,2]] verify that (BC)′ = C′B′.
Show model answer
BC = [[2,6],[18,4]], so (BC)′ = [[2,18],[6,4]].
C′ = [[−1,4],[2,2]], B′ = [[2,−2],[1,4]]; C′B′ = [[−2+4, 2+16],[4+2, −4+8]] = [[2,18],[6,4]].
Equal. Verified.
Sessions with Matrices questions
| Session | Questions |
|---|---|
| 2026 Annual | 5 |
| 2025 1st Annual | 4 |
| 2025 2nd Annual | 5 |
| 2024 Annual | 4 |
| 2023 Annual | 3 |
Common questions
What does the Matrices chapter cover on this page?
21 real Federal Board (FBISE) General Mathematics questions on Matrices from 2023 to 2026, for 10th class. Each one shows the session it came from.
Are the answers official?
No. We could not find an official FBISE marking scheme for these papers, so the answers and explanations are written by Tayyari Karo for practice. Check anything important with your teacher or textbook.
Is it free?
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