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Assertion & Reason questions consist of two statements: the Assertion (A) and the Reason (R). Students must analyze:
Whether the Assertion is true or false
Whether the Reason is true or false
If the Reason correctly explains the Assertion
These questions test understanding of definitions, operations, and properties of matrices, as well as logical reasoning in mathematics.
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CBSE includes Assertion & Reason questions to:
Assess conceptual understanding of matrices and their operations
Develop analytical and problem-solving skills
Identify misconceptions related to matrix algebra
Prepare students for competitive exams that emphasize reasoning
Topics like types of matrices, operations, determinants, and inverse matrices often include such questions.
The four types of Assertion & Reason questions are:
Both Assertion and Reason are true, and Reason correctly explains Assertion
Both Assertion and Reason are true, but Reason does not explain Assertion
Assertion is true, Reason is false
Both Assertion and Reason are false
Recognizing the type of question helps in solving them accurately.
Read both the Assertion and Reason carefully
Determine the truth of each statement individually
Check if the Reason logically explains the Assertion
Apply properties, formulas, and rules of matrices
Practice regularly to improve speed and confidence
Key topics include:
Types of Matrices: Zero, identity, diagonal, symmetric, skew-symmetric
Matrix Operations: Addition, multiplication, scalar multiplication
Determinants: Properties, calculation, and applications
Inverse of a Matrix: Properties, conditions for existence, and computation
Special Matrices: Orthogonal and singular matrices
Strengthens understanding of matrix concepts
Develops logical reasoning and problem-solving skills
Improves exam confidence
Helps identify weak areas for improvement
Example:
Assertion: A square matrix A is invertible if det(A) ≠ 0.
Reason: A matrix with a non-zero determinant has an inverse.
Solution:
Assertion is true
Reason is true
Reason correctly explains the Assertion
Memorize properties and definitions of all types of matrices
Understand operations and formulas for determinants and inverse matrices
Read both statements carefully before answering
Solve previous years’ CBSE papers and sample questions
Regularly revise key matrix formulas
Confusing the truth of a statement with the correctness of explanation
Forgetting properties of special matrices
Relying only on memorization without understanding
Misinterpreting operations like multiplication and determinants
NCERT Class 12 Mathematics textbooks
CBSE sample papers and previous years’ question papers
Online mock tests and quizzes
Revision notes and solved exercises
Assertion & Reason questions on Matrices are crucial in CBSE Class 12 Mathematics exams. They test both conceptual knowledge and reasoning skills. With regular practice, a clear understanding of matrix properties, and mastery of operations, students can solve these questions confidently and improve overall exam performance.
