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Mathematics - Matrices

Practise 191 AP EAMCET previous year questions on Matrices, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty AP EAMCET tests.

Matrices has been asked in 22 of the 24 years of AP EAMCET papers analysed (2001–2024), with 191 questions in all. 55% of them were easy, 39% moderate and 5% tough. Most of its questions came from 2022, with 27 questions that year. In the last three years (2022–2024) it had 63 questions across 28 papers, about 2.3 per paper.

The chapter's 12 topics are not weighted equally: Product of Matrices (40 questions, 21%), Inverse of a Matrix (39 questions, 20%), and Rank of Matrix (27 questions, 14%) have been asked the most. Product of Matrices has also led over the last five years, with 24 questions. Product of Matrices has produced the most tough questions (3).

  1. 1If the system of equations and has infinitely many solutions, then27 May, 2025 (M)System of Linear Equations
  2. 2If , then the values of and are respectively ( is the base of natural logarithm)27 May, 2025 (M)Determinants
  3. 3If is a symmetric matrix and is a skew symmetric matrix, then26 May, 2025 (M)Types of Matrices
  4. 4If is the inverse of third order matrix and , then26 May, 2025 (E)Adjoint and its Properties
  5. 5If and are the roots of the equation represented by , then26 May, 2025 (E)Inverse of a Matrix
  6. 6If the values of and which satisfy the equations , and simultaneously are and respectively, then26 May, 2025 (E)System of Linear Equations
  7. 7If is the determinant of the adjoint of the matrix and is the determinant of the inverse of the matrix then24 May, 2025 (M)Adjoint and its Properties
  8. 8Consider two systems of 3 linear equations in 3 unknowns and . If has unique solution and has unique solution , then the solution of is24 May, 2025 (M)System of Linear Equations
  9. 9If and the rank of is 2, then the value of is equal to23 May, 2025 (M)Rank of Matrix
  10. 10If is the adjoint of a matrix and , then the value of is23 May, 2025 (E)Adjoint and its Properties
  11. 11The rank of the matrix is23 May, 2025 (E)Rank of Matrix
  12. 12The values of and so that the system of equations , and may have no solution are22 May, 2025 (M)System of Linear Equations
  13. 13Consider the matrices If the cofactors of the elements in row and of are respectively then22 May, 2025 (M)Adjoint and its Properties
  14. 14Preview not available - open to view this question.22 May, 2025 (E)Adjoint and its Properties
  15. 15If the values satisfy all the 3 equations , and , then22 May, 2025 (E)System of Linear Equations
  16. 16If and are both matrices, then which of the following statements are true? (i) or (ii) (iii)21 May, 2025 (M)Product of Matrices
  17. 17If is the given matrix and represents the transpose of , then21 May, 2025 (M)Basic Algebra of Matrices
  18. 18If and are non-zero real numbers, trace of and determinant of , then the minor of the element 1 of is21 May, 2025 (M)Expansion of Determinants
  19. 19If , then21 May, 2025 (E)Inverse of a Matrix
  20. 20If is a matrix such that and , then21 May, 2025 (E)Adjoint and its Properties
  21. 21If the system of equations , has only trivial solution, then the rank of is23 May, 2024 (M)Rank of Matrix
  22. 22If and are two matrices such that and , then the determinant of adjoint the matrix . Adj is22 May, 2024 (M)Adjoint and its Properties
  23. 23If and then22 May, 2024 (M)Adjoint and its Properties
  24. 24and is a matrix such that . If is not an identity matrix, then the matrix that can be taken as B is22 May, 2024 (E)Product of Matrices
  25. 25If are the values of such that is a singular matrix then22 May, 2024 (E)Basic Algebra of Matrices
  26. 26Let be a matrix and be its adjoint matrix. If , then21 May, 2024 (M)Adjoint and its Properties
  27. 27If and , then21 May, 2024 (E)Product of Matrices
  28. 28Assertion (A): If is a matrix and , then Reason (R): If is a square matrix of order , then21 May, 2024 (E)Adjoint and its Properties
  29. 29Sum of the positive roots of the equation20 May, 2024 (M)Product of Matrices
  30. 30is not equal to20 May, 2024 (E)Basic Algebra of Matrices
  31. 31Let and E be matrices, each with non-zero determinant. If , then20 May, 2024 (E)Inverse of a Matrix
  32. 32If with and is a matrix, then the rank of is20 May, 2024 (E)Rank of Matrix
  33. 33If the determinant of a order matrix A is K , then the sum of the determinants of the matrices and is18 May, 2024 (M)Symmetric & Skew Symmetric Matrices
  34. 34The number of ordered pairs for which is a singular and symmetric matrix is19 May, 2023 (M)Formation and Basic of Matrix
  35. 35If and , then19 May, 2023 (M)Basic Algebra of Matrices
  36. 36The rank of the matrix is19 May, 2023 (M)Rank of Matrix
  37. 37If , then18 May, 2023 (M)Product of Matrices
  38. 38If and , then18 May, 2023 (M)Product of Matrices
  39. 39If and are non-singular matrices and , then18 May, 2023 (M)Adjoint and its Properties
  40. 40If is expressed as a sun of a symmetric matrix and skew symmetric matrix , then18 May, 2023 (E)Symmetric & Skew Symmetric Matrices
  41. 41If and then18 May, 2023 (E)Trace of a Matrix
  42. 42The sum of the distinct values of for which the matrix has no inverse, is18 May, 2023 (E)Inverse of a Matrix
  43. 43If , then17 May, 2023 (M)Product of Matrices
  44. 44If , then17 May, 2023 (E)Inverse of a Matrix
  45. 45The rank of the matrix is17 May, 2023 (E)Rank of Matrix
  46. 46If matrix , matrix and is a skew symmetric matrix of order, then17 May, 2023 (E)Symmetric & Skew Symmetric Matrices
  47. 47If there exists a order non-singular sub matrix in matrix of order , then the rank of16 May, 2023 (M)Rank of Matrix
  48. 48If and , then which one of the following is True?16 May, 2023 (M)Trace of a Matrix
  49. 49In a matrix , if all the sub matrices or orcer are singular and there is one non-singular sub matrix of order r , then the rank of the matri16 May, 2023 (M)Rank of Matrix
  50. 50Let . If at and at , then which one of the following is True?16 May, 2023 (E)Inverse of a Matrix

Frequently Asked Questions

1.How many questions are available for Matrices?

This chapter includes 191 questions compiled from AP EAMCET papers spanning 2001 to 2025.

2.Are these questions only from AP EAMCET, or from other exams too?

These are AP EAMCET 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 AP EAMCET Mathematics?

Matrices has appeared in 23 of the 25 years of AP EAMCET papers covered here, with 191 questions across 89 papers - about 2 per paper it appears in.

4.What is the difficulty level of Matrices questions in AP EAMCET?

Of the 191 questions analysed for this chapter, 55% are easy, 39% moderate and 5% tough. 2022 had the most, with 27 questions.

5.Which topics in Matrices should I focus on?

These topics have carried the most weightage in Matrices:

  • Product of Matrices - 40 questions (21%)
  • Inverse of a Matrix - 39 questions (20%)
  • Rank of Matrix - 27 questions (14%)
  • Product of Matrices has produced the most tough questions (3).
6.Is Matrices's weightage in AP EAMCET going up or down?

Across all 89 papers analysed, Matrices has averaged about 2.1 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.