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Unlock Important Matrices and Determinants Questions for IPMAT 2025

Author : Nashid

Updated On : June 25, 2024

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Overview: Looking for sample Matrices and Determinants Questions to ace your IPMAT preparations? This article has Important Matrices and Determinants Questions for IPMAT 2025 along with their solutions.

The topic of matrices and determinants in mathematics deals with solving linear equations.

  • A matrix is a rectangular array of numbers used to represent a system of linear equations, while a determinant is a special number that can be calculated from a square matrix and provides important 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 important Matrices and Determinants questions for IPMAT.

Important Matrices and Determinants Questions for IPMAT 2025

While some might have mastered these concepts, a few others might be looking for important matrices and determinants questions with solutions to begin their preparations. So here are matrices and determinants questions for IPMAT with answers -

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

Question 1

Matrices and Determinants Questions for IPMAT

Answer

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

Matrices and Determinants Questions for IPMAT

Remove a,b,c from both the matrices.

Matrices and Determinants Questions for IPMAT

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

Matrices and Determinants Questions for IPMAT

Equate (abc-1) value = 1

abc = 1

Question 2

Matrices and Determinants Questions for IPMAT

Answer

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

Matrices and Determinants Questions for IPMAT

Remove 2 from the expression, then it becomes

Matrices and Determinants Questions for IPMAT

As per the given question, Determinant of A = 5

Determinant of B = 3

Determinant of C = 1/2

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

Matrices and Determinants Questions for IPMAT

=

Matrices and Determinants Questions for IPMAT

= 10

Check: Previous year's IPMAT Question Papers

Question 3

Matrices and Determinants Questions for IPMAT

Answer

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

Matrices and Determinants Questions for IPMAT

Determinant of A power 2 = 4

Determinant of B = 3

Determinant of C inverse = 1/5

Therefore, the expression becomes as follows

Matrices and Determinants Questions for IPMAT

= 5 X 4 X 3X 1

The final value = 60

ipmat results

ipmat results

Question 4

Matrices and Determinants Questions for IPMAT

Answer

Let us consider the 3X3 matrix as given below

Matrices and Determinants Questions for IPMAT

The value of its determinant becomes

Matrices and Determinants Questions for IPMAT

= - 2 + 0 - 2

= -4

Therefore the determinant of - 4 = 4

Attempt IPM All India Scholarship

Question 5

Matrices and Determinants Questions for IPMAT

Answer

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

For Example:

Matrices and Determinants Questions for IPMAT

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

Matrices and Determinants Questions for IPMAT

-1+2x=0

2x=1

x=1/2

x=0.5

Check: List of Best IPMAT Books 2025

Question 5

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Check: IPMAT Coaching Centre

Question 6

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Download Matrices and Determinants Questions for IPMAT PDF

Question 7

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Check: Short tricks to prepare for IPMAT in one month

Question 8 

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Tricks to Attempt Logical Reasoning for IPMAT

Question 9

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Mastering Important Matrices and Determinants Questions is essential for excelling in the IPMAT exam. 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.

Key Takeaways

  • Significance of Important Matrices and Determinants Questions: Understand why these topics are crucial for the IPMAT exam and how they can impact your overall score.
  • Key Concepts: Grasp the fundamental concepts of matrices and determinants, including types of matrices, operations on matrices, properties of determinants, and more.
  • Solved Examples: Learn through solved examples that demonstrate step-by-step solutions to typical questions you might encounter in the exam.
  • Practice Questions: Get access to a variety of practice questions to test your understanding and improve your problem-solving skills.
  • Tips and Tricks: Discover useful tips and tricks to solve matrices and determinants questions quickly and accurately.
  • Common Mistakes to Avoid: Learn about common pitfalls and mistakes students make and how to avoid them.
  • Exam Strategy: Develop an effective strategy to approach the matrices and determinants section in the IPMAT exam for maximum efficiency and accuracy.

Check: IPMAT Mock Test Series 2025

Frequently Asked Questions

What are matrices and determinants, and why are they important for IPMAT?

Expand Faq Icon

How many questions related to matrices and determinants can I expect in the IPMAT exam?

Expand Faq Icon

How can I effectively practice matrices and determinants questions for IPMAT?

Expand Faq Icon

Are there any recommended books or resources for mastering matrices and determinants for IPMAT?

Expand Faq Icon

What are some key concepts I need to understand about matrices for the IPMAT exam?

Expand Faq Icon

Unlock Important Matrices and Determinants Questions for IPMAT 2025

Author : Nashid

June 25, 2024

SHARE

Overview: Looking for sample Matrices and Determinants Questions to ace your IPMAT preparations? This article has Important Matrices and Determinants Questions for IPMAT 2025 along with their solutions.

The topic of matrices and determinants in mathematics deals with solving linear equations.

  • A matrix is a rectangular array of numbers used to represent a system of linear equations, while a determinant is a special number that can be calculated from a square matrix and provides important 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 important Matrices and Determinants questions for IPMAT.

Important Matrices and Determinants Questions for IPMAT 2025

While some might have mastered these concepts, a few others might be looking for important matrices and determinants questions with solutions to begin their preparations. So here are matrices and determinants questions for IPMAT with answers -

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

Question 1

Matrices and Determinants Questions for IPMAT

Answer

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

Matrices and Determinants Questions for IPMAT

Remove a,b,c from both the matrices.

Matrices and Determinants Questions for IPMAT

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

Matrices and Determinants Questions for IPMAT

Equate (abc-1) value = 1

abc = 1

Question 2

Matrices and Determinants Questions for IPMAT

Answer

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

Matrices and Determinants Questions for IPMAT

Remove 2 from the expression, then it becomes

Matrices and Determinants Questions for IPMAT

As per the given question, Determinant of A = 5

Determinant of B = 3

Determinant of C = 1/2

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

Matrices and Determinants Questions for IPMAT

=

Matrices and Determinants Questions for IPMAT

= 10

Check: Previous year's IPMAT Question Papers

Question 3

Matrices and Determinants Questions for IPMAT

Answer

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

Matrices and Determinants Questions for IPMAT

Determinant of A power 2 = 4

Determinant of B = 3

Determinant of C inverse = 1/5

Therefore, the expression becomes as follows

Matrices and Determinants Questions for IPMAT

= 5 X 4 X 3X 1

The final value = 60

ipmat results

ipmat results

Question 4

Matrices and Determinants Questions for IPMAT

Answer

Let us consider the 3X3 matrix as given below

Matrices and Determinants Questions for IPMAT

The value of its determinant becomes

Matrices and Determinants Questions for IPMAT

= - 2 + 0 - 2

= -4

Therefore the determinant of - 4 = 4

Attempt IPM All India Scholarship

Question 5

Matrices and Determinants Questions for IPMAT

Answer

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

For Example:

Matrices and Determinants Questions for IPMAT

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

Matrices and Determinants Questions for IPMAT

-1+2x=0

2x=1

x=1/2

x=0.5

Check: List of Best IPMAT Books 2025

Question 5

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Check: IPMAT Coaching Centre

Question 6

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Download Matrices and Determinants Questions for IPMAT PDF

Question 7

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Check: Short tricks to prepare for IPMAT in one month

Question 8 

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Tricks to Attempt Logical Reasoning for IPMAT

Question 9

Matrices and Determinants Questions for IPMAT

Answer

Matrices and Determinants Questions for IPMAT

Mastering Important Matrices and Determinants Questions is essential for excelling in the IPMAT exam. 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.

Key Takeaways

  • Significance of Important Matrices and Determinants Questions: Understand why these topics are crucial for the IPMAT exam and how they can impact your overall score.
  • Key Concepts: Grasp the fundamental concepts of matrices and determinants, including types of matrices, operations on matrices, properties of determinants, and more.
  • Solved Examples: Learn through solved examples that demonstrate step-by-step solutions to typical questions you might encounter in the exam.
  • Practice Questions: Get access to a variety of practice questions to test your understanding and improve your problem-solving skills.
  • Tips and Tricks: Discover useful tips and tricks to solve matrices and determinants questions quickly and accurately.
  • Common Mistakes to Avoid: Learn about common pitfalls and mistakes students make and how to avoid them.
  • Exam Strategy: Develop an effective strategy to approach the matrices and determinants section in the IPMAT exam for maximum efficiency and accuracy.

Check: IPMAT Mock Test Series 2025

Frequently Asked Questions

What are matrices and determinants, and why are they important for IPMAT?

Expand Faq Icon

How many questions related to matrices and determinants can I expect in the IPMAT exam?

Expand Faq Icon

How can I effectively practice matrices and determinants questions for IPMAT?

Expand Faq Icon

Are there any recommended books or resources for mastering matrices and determinants for IPMAT?

Expand Faq Icon

What are some key concepts I need to understand about matrices for the IPMAT exam?

Expand Faq Icon

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