Important Matrices and Determinants Questions for IPMAT 2025

Overview: Typically, 4-5 matrices and determinants questions are featured in the IPMAT exam. This guide provides essential strategies, solved examples, and free study materials to excel in matrices and determinants questions for IPMAT 2025.

A matrix is a rectangular array of numbers used to represent a system of linear equations, and a determinant is a unique number that can be calculated from a square matrix and provides essential properties of the matrix.

Matrices allow you to perform various mathematical operations, including addition, subtraction, and multiplication.

In competitive exams like IPMAT, you can typically expect 4-5 questions based on this topic.

This post will guide you through crucial Matrices and Determinants questions for IPMAT.

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Important Matrices and Determinants Questions for IPMAT 2025

While some might have mastered these concepts, others might be looking for essential matrices and determinants questions for IPMAT with solutions to begin their preparations.

So here are matrices and determinants questions for IPMAT with answers -

We have provided a few samples to help you understand the matrices and determinants questions in IPMAT.

Question 1:

Answer 1:

Before start answering this question, represent the determinant in the following way.

Remove a,b,c from both the matrices.

Then, remove common values such as a,b,c and 1 from the above matrices. Then, it becomes

Equate (abc-1) value = 1
abc = 1

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Question 2:

Answer 2:

To solve this question, you must know the following formulas:

Remove 2 from the expression, then it becomes

As per the given question,
Determinant of A = 5
Determinant of B = 3
Determinant of C = 1/2

=16X5X1/-3X1/8X-3

=

= 10

Question 3:

Answer 3:

In this question, you need to find the value of the following expression

Determinant of A power 2 = 4
Determinant of B = 3
Determinant of C inverse = 1/5

Therefore, the expression becomes as follows

= 5 X 4 X 3X 1

The final value = 60

Question 4:

Answer 4:

Let us consider the 3X3 matrix as given below

The value of its determinant becomes

= - 2 + 0 - 2
= -4

Therefore, the determinant of - 4 = 4

Question 5:

Answer 5:

You must know that any matrix multiplied by its inverse matrix becomes an Identity Matrix.

For Example:

Apply the same formula for the given expression. Then it becomes as follows:

-1+2x=0
2x=1
x=1/2
x=0.5

Question 6:

Answer 6:

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Question 7:

Answer 7:

Question 8: 

Answer 8:

Question 9:

Answer 9:

Question 10:

Answer 10:

Read: IPM 2025 Aptitude Questions Based on Remainders

Additional Matrices and Determinants Questions for IPMAT 

Question 11:

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Question 15:

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Question 16:

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Question 17:

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Question 19:

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Question 20:

Answer 20:

Mastering Important Matrices and Determinants Questions for IPMAT is essential to scoring well.

By understanding core concepts & practising diligently, you can enhance your problem-solving skills and confidence.

Consistent practice and a clear understanding of these topics will significantly boost your success.

Stay focused and approach each question strategically to achieve your desired score.

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Preparation Tips for Matrices and Determinants Questions for IPMAT 2025

Fundamentals First

• Grasp the foundational concepts of matrices and determinants, including their types, operations, and key properties.
• Study fundamental matrix operations like addition, subtraction, multiplication, transpose, inverse, and adjoint.
• Understand determinant properties, such as cofactor expansion, row/column operations, and conditions for singularity.
• Use IPMAT textbooks like R.D. Sharma, S.N. De, and other entrance exam preparation books.
• Explore free online platforms like YouTube and TopRankers for concept explanations.
• Refer to previous years' IPMAT question papers to understand question patterns.

Practice Regularly

• Start with step-by-step solved examples to understand different question types.
• Identify common tricks and shortcuts used in solutions.
• Focus on understanding why a particular method is used rather than memorizing steps.
• Gradually increase the difficulty level of questions from basic to advanced.
• Cover a variety of problems, including conceptual, application-based, and tricky questions.
• Solve section-wise and mixed-problem sets to enhance adaptability.
• Take IPMAT-specific mock tests to develop speed, accuracy, and confidence.
• Attempt full-length tests in a time-bound manner to simulate the actual exam environment.
• Analyze IPMAT-specific mock test performance to identify weak areas and improve accordingly.

Strategic Approach

• Learn shortcut methods for determinant calculations and matrix operations.
• Practice pattern recognition techniques to solve problems faster.
• Memorize important properties and formulas to save time in the exam.
• Allocate time efficiently to different question types based on their complexity.
• Avoid spending too much time on a single question—move on and return later if needed.
• Develop a strategy for attempting more straightforward questions first to maximize scoring potential.

Review and Improve

• After every practice session, review incorrect answers and understand the mistakes.
• Identify whether errors are due to conceptual gaps, calculation mistakes, or time pressure.
• Maintain an error log to track recurring mistakes and focus on improvement.
• Discuss complex problems with teachers, mentors, or peers to gain new perspectives.
• Join study groups or coaching classes for better understanding and motivation.
• Take expert guidance on advanced problem-solving techniques.

Additional Resources

• To exchange tips, engage in IPMAT preparation forums on Quora, Telegram, or Discord.
• Follow educational YouTube channels and blogs for additional problem-solving insights.
• Participate in online doubt-clearing sessions or live Q&A discussions.
• Regularly check the official IPMAT syllabus and exam pattern for any changes.
• Keep an eye on new study materials and recent question trends.
• Adapt to any syllabus modifications by incorporating updated resources into your preparation.

The IPMAT exam typically features 4-5 questions on matrices and determinants, which are crucial for solving linear equations and manipulating numerical data within a matrix format.

Excelling in these matrices and determinants questions for IPMAT requires a deep understanding of the concepts, consistent practice with diverse problems, and strategic approaches to problem-solving.

With the right resources, such as free study materials, online lectures, and mock tests provided by SuperGrads, students can significantly enhance their mathematical skills, boosting their confidence and performance in the exam.

Read: Important Topics for IPMAT Preparation

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Key Takeaways:

• Master Core Concepts: A deep understanding is needed for matrices and determinants questions for IPMAT.
• Consistent Practice: Regularly tackle diverse problems and IPMAT-specific mocks to build accuracy and speed.
• Effective Strategies: Use efficient solving techniques and properties to enhance exam time management.
• Review Mistakes: Analyze errors in practice to refine approaches and avoid common errors.
• Utilize Resources: Access study materials and online tutorials, and stay informed on IPMAT syllabus updates for a well-rounded preparation.

Read: IPMAT Previous Year Question Papers With Solution