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Mathematics - Matrices

Practise 47 WBJEE previous year questions on Matrices, compiled from papers spanning 2009 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 WBJEE tests.

Matrices has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 47 questions in all. 60% of them were easy, 30% moderate and 11% tough. Most of its questions came from 2025, with 6 questions that year. In the last three years (2024–2026) it had 13 questions across 3 papers, about 4.3 per paper.

The chapter's 8 topics are not weighted equally: Product of Matrices (18 questions, 38%), Inverse of a Matrix (11 questions, 23%), and Adjoint and its Properties (5 questions, 11%) have been asked the most. Product of Matrices has also led over the last five years, with 6 questions. Inverse of a Matrix has produced the most tough questions (3).

  1. 1If and is a matrix such that , then2026Product of Matrices
  2. 2Let us define the power of a matrix as the minimum such that . For two matrices and if and , then the power of the matrix is between2026Product of Matrices
  3. 3If for a matrix and adj , then is equal to2025Adjoint and its Properties
  4. 4Suppose, are the roots of the equation with and they are in A.P. Then the rank of the matrix is2025Relation between Roots and Coefficients
  5. 5An matrix is formed using 0,1 and -1 as its elements. The number of such matrices which are skew symmetric is2025Types of Matrices
  6. 6If the matrix is orthogonal, then the values of are2025Types of Matrices
  7. 7If , then2025Adjoint and its Properties
  8. 8If P is a non-singular matrix of order and the sum of the elements of each row is 1 , then the sum of the elements of each row in is2025Inverse of a Matrix
  9. 9If and , then times is equal to2024Basic Algebra of Matrices
  10. 10If , then2024Product of Matrices
  11. 11If , then2024Product of Matrices
  12. 12Let Then for the validity of the result is2024Product of Matrices
  13. 13Let , then2024Basic Algebra of Matrices
  14. 14Let \(A= ( {array}{lll}0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 0 & 0 {array} ), B= ( {array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 {array} )\) and \2023Symmetric & Skew Symmetric Matrices
  15. 15If is the adjoint of the matrix and , then is equal to2022Adjoint and its Properties
  16. 16If and , then equals2022Product of Matrices
  17. 17The solution of be 4 and 8 and . Then2022Inverse of a Matrix
  18. 18Let and be two non-singular skew symmetric matrices such that , then is equal to2021Inverse of a Matrix
  19. 19If is a matrix such that , then is equal to2021Product of Matrices
  20. 20Let The value of for which the matrix is not invertible is2020Inverse of a Matrix
  21. 21Let be a real matrix with . If the equation has imaginary roots be the Identity matrix of order 2), then2020Inverse of a Matrix
  22. 22Let be a square matrix of order 3 whose all entries are 1 and let be the identity matrix of order Then, the matrix is2019Inverse of a Matrix
  23. 23If is any square matrix of order 3 over . and if be the transpose of , then is equal to2019Adjoint and its Properties
  24. 24If and then is equal to2019Product of Matrices
  25. 25Let and be two square matrices of order 3 and , where denotes the null matrix of order 3. Then,2019Product of Matrices
  26. 26Let Then, the roots of the equation (where is the identity matrix of order 3 ) are2019Basic Algebra of Matrices
  27. 27The least positive integer such that is an identity matrix of order 2 is2018Product of Matrices
  28. 28In a third order matrix , denotes the element in the ith row and th column. If for for for Then the matrix is2018Symmetric & Skew Symmetric Matrices
  29. 29Let be the set of all non-singular matrices of order 3 over and be the set of all orthogonal matrices of order 3 over Then,2017Types of Matrices
  30. 30Let Then, for positive integer is2017Product of Matrices
  31. 31Let be a matrix and be its adjoint matrix. If then is equal to2016Adjoint and its Properties
  32. 32Let and then is equal to2016Product of Matrices
  33. 33If the matrix then where2016Product of Matrices
  34. 34If and are two matrices such that and then equals2015Basic Algebra of Matrices
  35. 35For a matrix if and are column matrices satisfying and is matrix whose columns are and . Then, sum of he elements of is2015Inverse of a Matrix
  36. 36Let be an integer. and is the identity matrix of order 3 . Then,2014Inverse of a Matrix
  37. 37If and . Then, is equal to2013Formation and Basic of Matrix
  38. 38If and Then, the matrix is equal to2013Product of Matrices
  39. 39If then is equal to2013Product of Matrices
  40. 40If , then the value of the determinant of is2012Product of Matrices
  41. 41If \( {A}\) and \( {B}\) are two matrices such that \( {A}+ {B}\) and \( {AB}\) are both defined, then2011Product of Matrices
  42. 42If \(A= ( {array}{cc}3 & x-1 \\ 2 x+3 & x+2 {array} )\) is a symmetric matrix, then the value of \(x\) is2011Symmetric & Skew Symmetric Matrices
  43. 43If the matrices and , then will be2010Product of Matrices
  44. 44If then is2010Inverse of a Matrix
  45. 45If and square matrices of the same order and , then is equal to2009Inverse of a Matrix
  46. 46If is a square matrix then,2009Symmetric & Skew Symmetric Matrices
  47. 47If , then the inverse of the matrix is2009Inverse of a Matrix

Frequently Asked Questions

1.How many questions are available for Matrices?

This chapter includes 47 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Matrices has appeared in 18 of the 18 years of WBJEE papers covered here, with 47 questions across 18 papers - about 3 per paper it appears in.

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

Of the 47 questions analysed for this chapter, 60% are easy, 30% moderate and 11% tough. 2025 had the most, with 6 questions.

5.Which topics in Matrices should I focus on?

These topics have carried the most weightage in Matrices:

  • Product of Matrices - 18 questions (38%)
  • Inverse of a Matrix - 11 questions (23%)
  • Adjoint and its Properties - 5 questions (11%)
  • Inverse of a Matrix has produced the most tough questions (3).
6.Is Matrices's weightage in WBJEE going up or down?

Across all 18 papers analysed, Matrices has averaged about 2.6 questions per paper. In the last three years (2024–2026), that average has risen, at about 4.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.