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Last updated date: 23rd May 2024
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## Matrices and Determinants Practice Paper with Solutions and Answer Key For JEE Main

JEE Main aspirants must understand the significance of Matrices and Determinants Practice Paper as it directly contributes to matrix operations, determinants, and their applications in solving linear equations and transformations which is essential for success in JEE Main Maths.

 Category: JEE Main Practice Paper Content-Type: Text, Images, Videos and PDF Exam: JEE Main Chapter Name: Matrices and Determinants Academic Session: 2025 Medium: English Medium Subject: Mathematics Available Material: Chapter-wise Practice paper with PDF

Vedantu supports students preparing for JEE Main Maths by providing a valuable FREE PDF download of the Matrices and Determinants Practice Paper. This resource is prepared for chapter-wise practice, guaranteeing comprehensive coverage of essential topics. By obtaining it for FREE, you can augment your knowledge and boost your confidence in attempting questions efficiently. The inclusion of detailed solutions and answer keys aids in resolving doubts and understanding the step-wise approach to question-solving. Additionally, practicing Vedantu’s Matrices and Determinants Practice Paper for JEE Main enhances your question-solving speed.

In the upcoming JEE Main Exam, anticipate a minimum of 2 questions directly linked to the Matrices and Determinants chapter. To grasp the full scope of its significance, refer to the provided table detailing the weightage of the Matrices and Determinants chapter in the last five years of the JEE Main Exam.

 Year Weightage of JEE Main Questions From Matrices and Determinants 2023 6% 2022 6% 2021 6% 2020 6% 2019 6%

Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Matrices and Determinants Practice Paper today to excel in your JEE Main exams!

## Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Chemistry, Maths, and Physics—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Chemistry, as well as Physics Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper.

 Subject-wise Links For JEE Main Practice Paper JEE Main Chemistry Practice Paper JEE Main Physics Practice Paper

### Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers needs to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.

### Important Topics From Matrices and Determinants for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Matrices and Determinants. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Matrices and Determinants. Here are some of the important topics of Matrices and Determinants.

#### Matrices:

• Matrices are like grids of numbers. They have rows and columns. You should understand how to add, subtract, and multiply matrices. Also, know about the identity matrix and the transpose of a matrix.

#### Determinants:

• A determinant is a number that can be calculated from a square matrix. Understanding how to find the determinant of a 2x2 and 3x3 matrix is crucial.

#### Matrix Operations:

• Learn about matrix multiplication, including the rules and properties. Know how to find the inverse of a matrix and when it exists.

#### Solving Linear Equations:

• Matrices can be used to solve systems of linear equations. This involves representing the equations in matrix form and using techniques like Gaussian elimination to solve for the variables.

#### Eigenvalues and Eigenvectors:

• Understand what eigenvalues and eigenvectors are and how to calculate them for a given matrix. These concepts are important in various areas of mathematics and science.

#### Applications:

• Matrices and determinants are used in various real-world applications, such as solving electrical circuits, computer graphics, and data analysis. Familiarize yourself with these applications.

#### Properties of Determinants:

• Learn about properties of determinants like the product rule, sum rule, and how determinants change when rows or columns are scaled.

#### Cramer's Rule:

• This is a method for solving systems of linear equations using determinants. It can be useful in certain situations.

#### Matrix Inversion Lemma:

• Involves properties of matrices and their inverses. It can be useful in advanced problem-solving.

#### Practice:

• Practice is essential. Solve a variety of problems related to matrices and determinants to strengthen your understanding and problem-solving skills.

### Equations To Score More in Practice Paper of JEE Main Matrices and Determinants

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out Practice Paper of JEE Main Matrices and Determinants.

#### Determinant of a 2x2 matrix:

• $\begin{vmatrix}a & b \\c & d\end{vmatrix}= ad - bc$

#### Determinant of a 3x3 matrix using the cofactor expansion:

• $\begin{vmatrix}a & b & c \\d & e & f \\g & h & i\end{vmatrix}= a(ei - fh) - b(di - fg) + c(dh - eg)$

#### Transpose of a matrix A:

• $(A^T)_{ij} = A_{ji}$

#### Inverse of a 2x2 matrix:

• $\begin{pmatrix}a & b \\c & d\end{pmatrix}^{-1}= \frac{1}{ad - bc}\begin{pmatrix}d & -b \\-c & a\end{pmatrix}$

#### Matrix multiplication (product) of two matrices A and B:

• $(AB)_{ij} = \sum_{k=1}^{n} A_{ik} \cdot B_{kj}$

#### Rank of a matrix A:

• $\text{rank}(A) = \text{maximum number of linearly independent rows (or columns) of } A$

### What Makes Vedantu’s Practice Paper PDF of JEE Main Matrices and Determinants Different?

Practice Paper for JEE Main assumes a significant role in student preparation, providing questions that mimic the JEE Main exam's structure. Vedantu’s JEE Main Practice Papers emerges as the ideal post-learning resource upon finishing each Maths chapter. Now, let’s uncover the defining features of Vedantu’s Matrices and Determinants Practice Paper for JEE Main.

• Quality Content: Vedantu's Practice Paper for Matrices and Determinants is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

• Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Matrices and Determinants, allowing students to thoroughly practice and master each topic.

• Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Matrices and Determinants JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

• User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

• Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.

### How To Prepare For JEE Main With Matrices and Determinants Practice Paper?

Vedantu’s Matrices and Determinants JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.

1. Download the Daily Practice Paper of JEE Main Matrices and Determinants.

2. You can set a timer of 1 hour.

3. Solve the easy questions first and give time for tough questions.

5. Each question carries 4 marks and give a negative mark of -1 for each questions.

6. Now calculate the score and analyse yourself.

7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers.

8. Learn how to do the incorrect answers and prcatice the questions again.

9. Make a note of the time you taking for each question to practice.

### When to Start Preparing With JEE Main Practice Paper of Matrices and Determinants?

To excel in your JEE Main exams, initiating your JEE Main Practice Paper of Matrices and Determinants preparation early in your academic journey is essential. This approach enables thorough subject mastery and ample revision time, both key to exam success. Utilize this timeline for optimizing your JEE Main preparation with Daily Practice Paper.

• Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Matrices and Determinants.

• Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Matrices and Determinants into your routine.

• Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.

### Additional Materials To cover With  JEE Main Matrices and Determinants Practice Paper

After learning with the Matrices and Determinants chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Matrices and Determinants you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.

### Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Matrices and Determinants, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.

 JEE Main Maths Online Practice Paper JEE Main Maths Practice Paper - Test 1 JEE Main Maths Practice Paper - Test 2

### Mastering {Chapter Name} With JEE Main Practice Paper

The JEE Main Matrices and Determinants Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Matrices and Determinants Daily Practice Paper for FREE!

### JEE Mains Sample Paper: Matrices and Determinants

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Matrices and Determinants chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.

With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

## FAQs on JEE Main Matrices and Determinants Practice Paper FREE PDF Download

1. What is the importance of practicing Matrices and Determinants questions for JEE Main?

Practicing Matrices and Determinants questions for JEE Main is crucial because this topic often appears in the exam. It helps you understand the concepts better and boosts your problem-solving skills.

2. Where can I find Matrices and Determinants practice papers for JEE Main?

You can find Matrices and Determinants practice papers for JEE Main in various study materials, online resources, and coaching institute materials like Vedantu.

3. Are solutions and answer keys available for Vedantu's Matrices and Determinants practice paper for JEE Main?

Yes, solutions and answer keys are typically provided with Vedantu's Matrices and Determinants practice papers for JEE Main to help you check your answers and understand the solutions.

4. How can practicing Matrices and Determinants questions benefit my JEE Main preparation?

Practicing these questions enhances your understanding of the topic, improves your problem-solving skills, and boosts your confidence for the JEE Main exam.

5. Can I skip Matrices and Determinants if I find them difficult?

It's not advisable to skip any topic for JEE Main. Instead, seek help from teachers, or Vedantu Master Teachers also refer our online resources to understand and practice Matrices and Determinants until you are comfortable with them.

6. How can I improve my speed in solving Matrices and Determinants questions in JEE Main?

Regular practice is the key to improving your speed. Solve a variety of practice papers, and with time, you'll become more efficient in solving Matrices and Determinants questions.

7. What are the most important topics within Matrices and Determinants for JEE Main?

Some important topics include determinants of 2x2 and 3x3 matrices, properties of determinants, inverse of a matrix, and applications of matrices in solving linear equations.

8. How can I evaluate the consistency of a system of linear equations using matrices?

You can evaluate the consistency of a system of linear equations using matrices by checking the determinant of the coefficient matrix. If it's nonzero, the system is consistent; otherwise, it's inconsistent.