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Mathematics - Matrices

Practise 11 IAT (IISER) previous year questions on Matrices, compiled from papers spanning 2017 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty IAT (IISER) tests.

Matrices has been asked in 9 of the 9 years of IAT (IISER) papers analysed (2017–2026), with 11 questions in all. 0% of them were easy, 73% moderate and 27% tough. Most of its questions came from 2020, with 2 questions that year. In the last three years (2023–2026) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 7 topics are not weighted equally: Inverse of a Matrix (3 questions, 27%), System of Linear Equations (2 questions, 18%), and Product of Matrices (2 questions, 18%) have been asked the most. Over the last five years the most frequent topics have been Product of Matrices (2), System of Linear Equations (1), and Adjoint and its Properties (1). Inverse of a Matrix has produced the most tough questions (1).

  1. 1For a matrix , whose elements are real numbers, denote by the product , where is a positive integer. Define , , , for all and , for all . Wh2026Product of Matrices
  2. 2Let be a matrix with real entries such that For how many values of , the matrix is symmetric?2025Matrices
  3. 3Let be the set of all matrices with real entries. Consider the relation on given by is an integer . Which one of the following statements is2024Adjoint and its Properties
  4. 4Let be a matrix with real entries such that What is the value of the determinant of ?2023System of Linear Equations
  5. 5Let be the set of all matrices with real entries and be the relation Which of the following statements is true?2022Product of Matrices
  6. 6Let be a matrix such that Let denote the identity matrix. Which of the following statements is correct?2021Inverse of a Matrix
  7. 7If then the determinant of is2020Inverse of a Matrix
  8. 8The number of skew symmetric matrices , where , is2020Symmetric & Skew Symmetric Matrices
  9. 9Let be a matrix with real entries. Consider the sets Suppose . Then, which one of the following statements is necessarily true?2019System of Linear Equations
  10. 10For a given matrix, let \(R_i\) denote the sum of all entries in its \(i^{ {th }}\) row and \(C_j\) denote the sum of all entries in its \(j2018Formation and Basic of Matrix
  11. 11Let be a matrix which has determinant 3 and satisfies the equation . The value of is2017Inverse of a Matrix

Frequently Asked Questions

1.How many questions are available for Matrices?

This chapter includes 11 questions compiled from IAT (IISER) papers spanning 2017 to 2026.

2.Are these questions only from IAT (IISER), or from other exams too?

These are IAT (IISER) questions specifically for the Matrices chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Matrices an important chapter for IAT (IISER) Mathematics?

Matrices has appeared in 10 of the 10 years of IAT (IISER) papers covered here, with 11 questions across 10 papers - about one per paper it appears in.

4.What is the difficulty level of Matrices questions in IAT (IISER)?

Of the 11 questions analysed for this chapter, 0% are easy, 73% moderate and 27% tough. 2020 had the most, with 2 questions.

5.Which topics in Matrices should I focus on?

These topics have carried the most weightage in Matrices:

  • Inverse of a Matrix - 3 questions (27%)
  • System of Linear Equations - 2 questions (18%)
  • Product of Matrices - 2 questions (18%)
  • Inverse of a Matrix has produced the most tough questions (1).
6.Is Matrices's weightage in IAT (IISER) going up or down?

Across all 10 papers analysed, Matrices has averaged about 1.1 questions per paper. In the last three years (2023–2026), that average has stayed about the same, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.