Last Updated on April 17, 2025 by XAM CONTENT
Hello students, we are providing assertion reason questions for class 12. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 12 maths. In this article, you will find assertion reason questions for CBSE Class 12 Maths Chapter 3 Matrices. It is a part of Assertion Reason Questions for CBSE Class 12 Maths Series.
| Chapter | Matrices |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 12 |
| Subject | Maths |
| Useful for | Class 12 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 12 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Matrices
Directions:
In the questions given below, there are two statements marked as Assertion (A) and Reason (R).
Read the statements carefully and choose the correct option:
(A) Both A and R are true, and R is the correct explanation of A.
(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
Q1. Assertion (A): A matrix is said to be symmetric if it is equal to its transpose.
Reason (R): For a matrix $A, A$ is symmetric if $A^{\top}=A$.
Ans. Option (A) is correct.
Explanation: This is the definition of a symmetric matrix. Both statements are true, and the reason correctly explains the assertion.
Difficulty Level: Medium
Q2. Assertion (A): The product of a $2 \times 3$ matrix and a $3 \times 2$ matrix is a square matrix.
Reason $(\mathrm{R})$ : The number of columns of the first matrix must equal the number of rows of the second matrix for multiplication to be defined.
Ans. Option (A) is correct.
Explanation: Multiplication is valid here and the resulting matrix will be of order $2 \times 2$, which is square. The reason correctly explains the multiplication condition.
Difficulty Level: Hard
Q3. Assertion (A): A null matrix when added to any matrix $A$ of the same order gives $A$.
Reason (R): The null matrix is the additive identity for matrices.
Ans. Option (A) is correct.
Explanation: This is true by definition of the additive identity in matrix addition. Both statements are true, and the reason correctly explains the assertion.
Difficulty Level: Easy
Also check
- Matrices Class 12 Assertion Reason Questions Maths Chapter 3
- Inverse Trigonometric Functions Class 12 Assertion Reason Questions Maths Chapter 2
- Relations and Functions Class 12 Assertion Reason Questions Maths Chapter 1
🚀 Boost Your Exam Prep: Get assertion reason questions for all subjects (Class 6-12) now!
Topics from which assertion reason questions may be asked
- Types of Matrices
- Matrix Operations
- Transpose
- Symmetric and Skew-Symmetric Matrices
Matrices are powerful tools for organizing and solving systems of equations.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Matrices Assertion Reason Questions Class 12
Q1: What does the chapter ‘Matrices’ cover?
A1: It builds key concepts related to matrices and prepares you for logical reasoning-based questions.
Q2: What are assertion reason questions?
A2: These consist of two statements: an assertion and a reason. Students need to determine their correctness and relationship.
Q3: Why practice assertion reason questions in Matrices?
A3: They strengthen core concepts and boost confidence in tackling tricky scenarios from matrices.
Q4: Are assertion reason questions part of CBSE board exams?
A4: Yes, they are included under competency-based formats to test depth of understanding.
