Class 12 Mathematics Chapter 3: Matrices — Important Questions & Mock Tests
Practice Matrices topic-wise important questions, MCQs and 1, 2, 3 and 5 mark questions for CBSE revision.
300 Questions 55 Topics MCQs: 100 1 Mark: 50 2 Mark: 50 3 Mark: 50 5 Mark: 50
Topic-wise important and practice questions
Review question distribution across chapter topics for MCQs, 1 Mark questions, 2 Mark questions, 3 Mark questions, 5 Mark questions.
| Topic | MCQ | 1 Mark | 2 Mark | 3 Mark | 5 Mark | Total |
|---|---|---|---|---|---|---|
| Equality of Matrices | 5 | 5 | 0 | 0 | 0 | 10 |
| Non-Commutativity of Matrix Multiplication | 5 | 0 | 5 | 0 | 0 | 10 |
| Skew-Symmetric Matrices | 5 | 5 | 0 | 0 | 0 | 10 |
| Solving a Linear Matrix Equation | 5 | 0 | 5 | 0 | 0 | 10 |
| Transpose of a Matrix | 5 | 5 | 0 | 0 | 0 | 10 |
| Types of Matrices | 5 | 5 | 0 | 0 | 0 | 10 |
| Application of Matrix Addition and Difference | 0 | 0 | 0 | 5 | 0 | 5 |
| Application of Matrix Addition to Production Data | 0 | 0 | 5 | 0 | 0 | 5 |
| Application of Matrix Multiplication to Revenue and Profit | 0 | 0 | 0 | 0 | 5 | 5 |
| Associative and Distributive Laws of Matrix Multiplication | 0 | 0 | 0 | 0 | 5 | 5 |
| Associative Law of Matrix Multiplication | 0 | 0 | 0 | 5 | 0 | 5 |
| Case-Based Matrix Addition, Difference and Scalar Multiplication | 0 | 0 | 0 | 0 | 5 | 5 |
| Case-Based Matrix Multiplication for Campaign Costs | 0 | 0 | 0 | 0 | 5 | 5 |
| Condition and Order of Matrix Multiplication | 0 | 5 | 0 | 0 | 0 | 5 |
| Condition for Matrix Addition | 5 | 0 | 0 | 0 | 0 | 5 |
| Constructing a Matrix from a Formula | 0 | 0 | 5 | 0 | 0 | 5 |
| Constructing a Matrix from an Element Formula | 5 | 0 | 0 | 0 | 0 | 5 |
| Decomposition into Symmetric and Skew-Symmetric Parts | 5 | 0 | 0 | 0 | 0 | 5 |
| Decomposition of a Square Matrix | 0 | 0 | 5 | 0 | 0 | 5 |
| Decomposition of a Square Matrix and Verification | 0 | 0 | 0 | 0 | 5 | 5 |
| Definition and Order of a Matrix | 0 | 5 | 0 | 0 | 0 | 5 |
| Definition and Verification of an Inverse Matrix | 5 | 0 | 0 | 0 | 0 | 5 |
| Identity Matrix in Matrix Multiplication | 5 | 0 | 0 | 0 | 0 | 5 |
| Inverse Matrix: Verification, Uniqueness and a Matrix Equation | 0 | 0 | 0 | 0 | 5 | 5 |
| Inverse of a Product | 5 | 0 | 0 | 0 | 0 | 5 |
| Inverse of a Product of Matrices | 0 | 0 | 0 | 5 | 0 | 5 |
| Linear Combination of Matrices | 0 | 0 | 5 | 0 | 0 | 5 |
| Matrix Multiplication by Row-Column Rule | 0 | 0 | 5 | 0 | 0 | 5 |
| Matrix Multiplication in a Cost Application | 0 | 0 | 0 | 5 | 0 | 5 |
| Matrix Representation and Addition in a Workforce Context | 0 | 0 | 0 | 5 | 0 | 5 |
| Multi-Step Matrix Operations on Workforce Data | 0 | 0 | 0 | 0 | 5 | 5 |
| Non-Commutativity and Structural Properties of Matrix Multiplication | 0 | 0 | 0 | 0 | 5 | 5 |
| Numerical Decomposition into Symmetric and Skew-Symmetric Parts | 0 | 0 | 0 | 5 | 0 | 5 |
| Order and Number of Elements of a Matrix | 5 | 0 | 0 | 0 | 0 | 5 |
| Order of a Matrix Product | 5 | 0 | 0 | 0 | 0 | 5 |
| Polynomial Expressions in a Matrix | 0 | 0 | 0 | 5 | 0 | 5 |
| Possible Orders of a Matrix | 0 | 5 | 0 | 0 | 0 | 5 |
| Powers and Polynomial Expressions of a Matrix | 0 | 0 | 0 | 0 | 5 | 5 |
| Properties of Transpose | 0 | 0 | 5 | 0 | 0 | 5 |
| Representing Tabular Information as a Matrix | 0 | 5 | 0 | 0 | 0 | 5 |
| Row-by-Column Matrix Multiplication | 5 | 0 | 0 | 0 | 0 | 5 |
| Scalar Multiplication and Linear Combination of Matrices | 5 | 0 | 0 | 0 | 0 | 5 |
| Scalar Multiplication of a Matrix | 0 | 5 | 0 | 0 | 0 | 5 |
| Solving Variables by Equality of Matrices | 0 | 0 | 5 | 0 | 0 | 5 |
| Symmetric and Skew-Symmetric Matrices from A±Aᵀ | 0 | 0 | 5 | 0 | 0 | 5 |
| Symmetric and Skew-Symmetric Parts of a Matrix | 5 | 0 | 0 | 0 | 0 | 5 |
| Symmetric Matrices | 0 | 5 | 0 | 0 | 0 | 5 |
| Symmetric Matrix Condition | 5 | 0 | 0 | 0 | 0 | 5 |
| Theorem on A+Aᵀ and A-Aᵀ | 0 | 0 | 0 | 5 | 0 | 5 |
| Transpose of a Matrix Product | 0 | 0 | 0 | 5 | 0 | 5 |
| Transpose, Symmetric and Skew-Symmetric Matrix Analysis | 0 | 0 | 0 | 0 | 5 | 5 |
| Uniqueness of the Inverse Matrix | 0 | 0 | 0 | 5 | 0 | 5 |
| Zero Product of Non-Zero Matrices | 5 | 0 | 0 | 0 | 0 | 5 |
| Matrix Representation of Tabular Data | 3 | 0 | 0 | 0 | 0 | 3 |
| Interpreting Matrix Entries from Data | 2 | 0 | 0 | 0 | 0 | 2 |