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Mathematics - Matrices

Practise 66 KCET 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 KCET tests.

Matrices has been asked in 20 of the 20 years of KCET papers analysed (2007–2026), with 66 questions in all. 65% of them were easy, 29% moderate and 6% tough. Most of its questions came from 2025, with 7 questions that year. In the last three years (2024–2026) it had 15 questions across 3 papers, about 5 per paper.

The chapter's 8 topics are not weighted equally: Product of Matrices (18 questions, 27%), Inverse of a Matrix (16 questions, 24%), and Symmetric & Skew Symmetric Matrices (10 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Inverse of a Matrix (5), Product of Matrices (5), and Adjoint and its Properties (4). Basic Algebra of Matrices has produced the most tough questions (3).

  1. 1Match List-I with List-II List-I List-II a) A matrix which is not a square matrix i) Symmetric matrix b) A square matrix ii) Null matrix c) 2026Symmetric & Skew Symmetric Matrices
  2. 2Consider the following statements: Statement I: If A is a non-singular matrix, then exists. Statement II: If A and B are symmetric matrices 2026Inverse of a Matrix
  3. 3A row matrix has only2026Formation and Basic of Matrix
  4. 4Let X be a matrix of order and Z be a matrix of order . If , then the order of the matrix is:2026Basic Algebra of Matrices
  5. 5If A and B are invertible matrices of same order, then which of the following is not correct?2026Adjoint and its Properties
  6. 6If is a square matrix such that , then is2025Product of Matrices
  7. 7If and are two matrices such that is an identity matrix and the order of matrix is , then the order of matrix A is2025Product of Matrices
  8. 8Which of the following statements is not correct?2025Symmetric & Skew Symmetric Matrices
  9. 9If a matrix satisfies , then the value of is2025Product of Matrices
  10. 10If is a square matrix satisfying the equation , where is the dentity matrix and 0 is null matrix of same order, then2025Inverse of a Matrix
  11. 11If be the adjoint of a matrix and , then the value of is2025Adjoint and its Properties
  12. 12The system of equations and has2025System of Linear Equations
  13. 13If is a square matrix, such that then is equal to2024Basic Algebra of Matrices
  14. 14If , then is equal to2024Product of Matrices
  15. 15If is the adjoint of a matrix and , then is equal to2024Adjoint and its Properties
  16. 16If , then the value of and are2023Basic Algebra of Matrices
  17. 17If and are two matrices, such that and , then equals to2023Product of Matrices
  18. 18If and , then is equal to2023Inverse of a Matrix
  19. 19If is a matrix of order , then is equal to2022Inverse of a Matrix
  20. 20If , then the inverse of the matrix is2022Inverse of a Matrix
  21. 21If is a skew symmetric matrix, then is2022Symmetric & Skew Symmetric Matrices
  22. 22If , then is (where is the identify matrix of order 2)2022Basic Algebra of Matrices
  23. 23If is a matrix such that , then is equal to2022Adjoint and its Properties
  24. 24If , then is equal to2021Product of Matrices
  25. 25Let be symmetric matrix with integer entries, then is invertible if2021Symmetric & Skew Symmetric Matrices
  26. 26If and are matrices of order 3 and , then is2021Product of Matrices
  27. 27If and are invertible matrices then which of the following is not correct ?2021Inverse of a Matrix
  28. 28If and , then the maximum value of is2021Basic Algebra of Matrices
  29. 29If are three mutually exclusive and exhaustive events of an experiment such that , then is equal to2020Product of Matrices
  30. 30The value of is2020Inverse of a Matrix
  31. 31If , then the number of binary operations on is2020Symmetric & Skew Symmetric Matrices
  32. 32If , then the matrix is2020Adjoint and its Properties
  33. 33The inverse of the matrix \( [ {array}{rrr}2 & 5 & 0 \\ 0 & 1 & 1 \\ -1 & 0 & 3 {array} ] \) is2019Inverse of a Matrix
  34. 34If \( P \) and \( Q \) are symmetric matrices of the same order then \( P Q-Q P \) is2019Symmetric & Skew Symmetric Matrices
  35. 35If \( 3 A+4 B^{ }= [ {array}{ccc}7 & -10 & 17 \\ 0 & 6 & 31 {array} ] \) and \( 2 B-3 A^{ }= [ {array}{cc}-1 & 18 \\ 4 & 0 \\ 5 & -7 {array}2019Basic Algebra of Matrices
  36. 36If \( A= [ {array}{cc}2 & -2 \\ -2 & 2 {array} ] \), then \( A^{n}=2^{k} A \), where \( K= \)2018Product of Matrices
  37. 37If \( [ {array}{cc}1 & 1 \\ -1 & 1 {array} ] [ {array}{l} {x} \\ {y} {array} ]= [ {array}{c}2 \\ 4 {array} ] \), then the values of \( {x} \2018Product of Matrices
  38. 38If \( {A}= [ {array}{cc} & \\ - & {array} ] \), then \( A A^{ }= \)2018Product of Matrices
  39. 39If an LPP admits optimal solution at two consecutive vertices of a feasible region, then2017Symmetric & Skew Symmetric Matrices
  40. 40If \( {A}= {1}{ } [ {array}{ll} ^{-1}( {x} ) & ^{-1} ( { {x}}{ } ) \\ ^{-1} ( { {x}}{ } ) & ^{-1}( {x}) {array} ] {B}= [ {array}{cc}- ^{-1}(2016Basic Algebra of Matrices
  41. 41If \( {A} \) is a matrix of order \( {m} {n} \) and \( {B} \) is a matrix such that \( {AB}^{ } \) and \( {B}^{ } {A} \) are both defined, t2016Product of Matrices
  42. 42If \( A= [ {array}{cc} 2 & - 2 \\ 2 & 2 {array} ] \) and \( A+A^{T}=I \), where \( {I} \) is the unit matrix of \( 2 2 \& {~A}^{ {T}} \) is 2016Basic Algebra of Matrices
  43. 43If \( A= [ {array}{cc}3 & 1 \\ -1 & 2 {array} ] \) then \( A^{2}-5 A \) is equal to2016Inverse of a Matrix
  44. 44If \( x+ y= {1}{2} \) and \( x+ y=1 \), then \( (x+y)= \)2015Product of Matrices
  45. 45The general solution of the differential equation \( {d y}{d x}+ {y}{x}=3 x \) is2014Product of Matrices
  46. 46The distance of the point \( P(a, b, c) \) from the \( x \)-axis is2014Symmetric & Skew Symmetric Matrices
  47. 47The angle between two diagonals of a cube is \( 30^{ } \)2014Inverse of a Matrix
  48. 48If and are square matrices of order such that , then which of the following will be true?2013Product of Matrices
  49. 49If the determinant of the adjoint of a (real) matrix of order 3 is 25 , then the determinant of the inverse of the matrix is2013Inverse of a Matrix
  50. 50If the matrix , where is symmetric and is skew-symmetric, then is equal to2013Symmetric & Skew Symmetric Matrices

Frequently Asked Questions

1.How many questions are available for Matrices?

This chapter includes 66 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Matrices has appeared in 20 of the 20 years of KCET papers covered here, with 66 questions across 20 papers - about 3 per paper it appears in.

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

Of the 66 questions analysed for this chapter, 65% are easy, 29% moderate and 6% tough. 2025 had the most, with 7 questions.

5.Which topics in Matrices should I focus on?

These topics have carried the most weightage in Matrices:

  • Product of Matrices - 18 questions (27%)
  • Inverse of a Matrix - 16 questions (24%)
  • Symmetric & Skew Symmetric Matrices - 10 questions (15%)
  • Basic Algebra of Matrices has produced the most tough questions (3).
6.Is Matrices's weightage in KCET going up or down?

Across all 20 papers analysed, Matrices has averaged about 3.3 questions per paper. In the last three years (2024–2026), that average has risen, at about 5.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.