The Joint Entrance Examination (JEE) Advanced is a highly competitive entrance exam conducted for admission into prestigious engineering institutes in India, such as the Indian Institutes of Technology (IITs). The mathematics section of the JEE Advanced exam covers a wide range of topics, including matrices and determinants.


Matrices and determinants are fundamental concepts in linear algebra and play a significant role in various branches of mathematics and engineering. They have numerous applications in fields such as physics, computer science, statistics, and economics.


Matrices and determinants are among the important topics in the JEE Advanced mathematics syllabus. These topics are included to test the conceptual understanding, problem-solving skills, and application of mathematical principles. Questions related to matrices and determinants are designed to assess the candidate's ability to manipulate matrices, find determinants, solve linear equations, and perform operations such as addition, subtraction, multiplication, and inversion of matrices.


In the mathematics section of the JEE Advanced exam, questions related to matrices and determinants may appear in various formats. Some common types of questions include:

1. Determinant Calculation: Questions may require the computation of determinants of matrices, including finding the determinant of a given matrix or evaluating expressions involving determinants.

2. Matrix Operations: Questions may involve matrix operations such as addition, subtraction, multiplication, and inversion. Candidates may be required to perform these operations on given matrices or solve equations involving matrices.

3. Linear Equations: Questions may test the candidate's ability to solve systems of linear equations using matrices and determinants. This may include finding the values of variables or determining the consistency and uniqueness of the solutions.

4. Eigenvalues and Eigenvectors: Questions may assess the candidate's understanding of eigenvalues and eigenvectors. These may involve finding eigenvalues, eigenvectors, or solving problems related to diagonalization of matrices.


To excel in the matrices and determinants section of the JEE Advanced exam, it is essential to have a thorough understanding of the concepts and their applications. Here are some tips to enhance your preparation:

1. Study the Concepts: Start by thoroughly understanding the basic concepts of matrices and determinants. Focus on topics such as determinants, types of matrices, matrix operations, and properties of matrices.

2. Practice Questions: Solve a variety of practice questions from previous year papers and study materials. This will help you familiarize yourself with the different types of questions and improve your problem-solving skills.

3. Understand the Applications: Gain knowledge about the real-world applications of matrices and determinants. This will help you appreciate the practical significance of these concepts and improve your problem-solving abilities.

4. Time Management: Develop effective time management skills to ensure you can allocate sufficient time to each question. This will help you answer all the questions accurately within the given time limit.

5. Seek Help if Required: If you face difficulties in understanding any topic or solving specific types of questions, seek guidance from teachers, mentors, or online platforms like EduRev, which offer comprehensive study