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Mathematics - Matrices

Practise 164 MHTCET previous year questions on Matrices, compiled from papers spanning 2007 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 MHTCET tests.

Matrices has been asked in 16 of the 17 years of MHTCET papers analysed (2007–2026), with 164 questions in all. 48% of them were easy, 49% moderate and 3% tough. Most of its questions came from 2026, with 31 questions that year. In the last three years (2024–2026) it had 57 questions across 59 papers, about 1 per paper.

The chapter's 7 topics are not weighted equally: Inverse of a Matrix (91 questions, 55%), Adjoint and its Properties (42 questions, 26%), and Product of Matrices (16 questions, 10%) have been asked the most. Inverse of a Matrix has also led over the last five years, with 45 questions. Inverse of a Matrix has produced the most tough questions (3).

  1. 1Let , where and are the roots of the equation . If , then the value of is ____20 Apr, 2026 (M)Inverse of a Matrix
  2. 2If , such that and , then20 Apr, 2026 (M)Product of Matrices
  3. 3If , then20 Apr, 2026 (E)Inverse of a Matrix
  4. 4The inverse of matrix is ...19 Apr, 2026 (M)Inverse of a Matrix
  5. 5If , where , then ..19 Apr, 2026 (M)Adjoint and its Properties
  6. 6The inverse of the matrix is , then the value of is...19 Apr, 2026 (E)Inverse of a Matrix
  7. 7If matrix , then the sum of all elements in is equal to...19 Apr, 2026 (E)Adjoint and its Properties
  8. 8Let and be two matrices. If the variables and satisfy the matrix equation , then the ordered pair18 Apr, 2026 (M)Inverse of a Matrix
  9. 9Let . If , then the matrix is equal to...18 Apr, 2026 (M)Adjoint and its Properties
  10. 10Let and if , then18 Apr, 2026 (E)Basic Algebra of Matrices
  11. 11If matrix A and its inverse are given by and , then the polar co-ordinates of the points whose Cartesian co-ordinates are are18 Apr, 2026 (E)Inverse of a Matrix
  12. 12If is a non-singular matrix and , then17 Apr, 2026 (M)Inverse of a Matrix
  13. 13If the matrix is expressed as the sum of a symmetric matrix B and a skew symmetric matrix C then which of the following relations is correct17 Apr, 2026 (M)Symmetric & Skew Symmetric Matrices
  14. 14If ; then, _______17 Apr, 2026 (E)Basic Algebra of Matrices
  15. 15If and then is equal to17 Apr, 2026 (E)Inverse of a Matrix
  16. 16If and , Then16 Apr, 2026 (M)Adjoint and its Properties
  17. 17Inverse of is16 Apr, 2026 (M)Inverse of a Matrix
  18. 18If and , where and are the identity matrix and null matrix of order 2 respectively, then:16 Apr, 2026 (E)Basic Algebra of Matrices
  19. 19If is a matrix such that , where denotes the modulus function, then the element in the row and column of is ...16 Apr, 2026 (E)Formation and Basic of Matrix
  20. 20If , , then16 Apr, 2026 (E)Product of Matrices
  21. 21If , then the matrix when is equal to...15 Apr, 2026 (M)Product of Matrices
  22. 22Let and where k is a real number. If , then the value of is equal to...15 Apr, 2026 (M)Adjoint and its Properties
  23. 23The element in the third row and the second column in the inverse matrix of a matrix is15 Apr, 2026 (E)Inverse of a Matrix
  24. 24If , and , then the inverse of matrix B is15 Apr, 2026 (E)Product of Matrices
  25. 25If , and , then _____ (where denotes the absolute value)13 Apr, 2026 (M)Inverse of a Matrix
  26. 26Let . The Row transformation will transform matrix A into13 Apr, 2026 (M)Basic Algebra of Matrices
  27. 27The element in 1st row and 2nd column of the inverse of the matrix is ...13 Apr, 2026 (E)Inverse of a Matrix
  28. 28If , such that , then13 Apr, 2026 (E)Adjoint and its Properties
  29. 29If , then is equal to11 Apr, 2026 (M)Inverse of a Matrix
  30. 30If then is not11 Apr, 2026 (M)Inverse of a Matrix
  31. 31If then which of the following is true ?11 Apr, 2026 (E)Inverse of a Matrix
  32. 32If then05 May, 2025 (E)Adjoint and its Properties
  33. 33Matrix is non-singular matrix and , then _________26 Apr, 2025 (M)Inverse of a Matrix
  34. 34If is a matrix of order 2 and is the identity matrix of order 2 such that then26 Apr, 2025 (E)Inverse of a Matrix
  35. 35If , then25 Apr, 2025 (M)Inverse of a Matrix
  36. 36If and A.adj , then25 Apr, 2025 (E)Adjoint and its Properties
  37. 37If and are non-singular matrices of order 2 such that and then23 Apr, 2025 (M)Inverse of a Matrix
  38. 38If and , then23 Apr, 2025 (E)Adjoint and its Properties
  39. 39If then22 Apr, 2025 (M)Inverse of a Matrix
  40. 40If matrix and , then the values of respectively are ......22 Apr, 2025 (E)Inverse of a Matrix
  41. 41The third element in the second row of adjoint of a matrix where is21 Apr, 2025 (M)Adjoint and its Properties
  42. 42Let be a non-singular matrix of order and , then is21 Apr, 2025 (E)Adjoint and its Properties
  43. 43If , then20 Apr, 2025 (M)Inverse of a Matrix
  44. 44If and where I is the identity matrix of order 2 , then19 Apr, 2025 (E)Inverse of a Matrix
  45. 45Let and . If , then16 May, 2024 (M)Product of Matrices
  46. 46Let and , I is the identity matrix of order 2 , then is16 May, 2024 (E)Inverse of a Matrix
  47. 47Let A and B be real matrices such that A is symmetric matrix and is skew-symmetric matrix. Then the system of linear equations . where is co15 May, 2024 (M)Product of Matrices
  48. 48If and , then is equal to15 May, 2024 (E)Adjoint and its Properties
  49. 49If then is11 May, 2024 (E)Inverse of a Matrix
  50. 50If where A is symmetric and B is skew-symmetric matrix, then the matrix at is given by10 May, 2024 (M)Symmetric & Skew Symmetric Matrices

Frequently Asked Questions

1.How many questions are available for Matrices?

This chapter includes 164 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Matrices has appeared in 16 of the 17 years of MHTCET papers covered here, with 164 questions across 100 papers - about 2 per paper it appears in.

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

Of the 164 questions analysed for this chapter, 48% are easy, 49% moderate and 3% tough. 2026 had the most, with 31 questions.

5.Which topics in Matrices should I focus on?

These topics have carried the most weightage in Matrices:

  • Inverse of a Matrix - 91 questions (55%)
  • Adjoint and its Properties - 42 questions (26%)
  • Product of Matrices - 16 questions (10%)
  • Inverse of a Matrix has produced the most tough questions (3).
6.Is Matrices's weightage in MHTCET going up or down?

Across all 100 papers analysed, Matrices has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has fallen, 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.