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Mathematics - Matrices

Practise 25 VITEEE previous year questions on Matrices, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Matrices has been asked in 15 of the 18 years of VITEEE papers analysed (2006–2024), with 25 questions in all. 60% of them were easy, 40% moderate and 0% tough. Most of its questions came from 2008, with 4 questions that year. In the last three years (2022–2024) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 6 topics are not weighted equally: Adjoint and its Properties (5 questions, 20%), Product of Matrices (5 questions, 20%), and Trace of a Matrix (5 questions, 20%) have been asked the most. Over the last five years the most frequent topics have been Basic Algebra of Matrices (2), Inverse of a Matrix (1), and Product of Matrices (1).

  1. 1If are two square matrices, such that , then equals2024Basic Algebra of Matrices
  2. 2If and , then is equal to2024Product of Matrices
  3. 3If \(f(x)=x^2-4 x-5\), then \(f(A)\), where \(A= [ {array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 {array} ]\) equals2023Basic Algebra of Matrices
  4. 4If \(A= [ {array}{ll}3 & 2 \\ 0 & 1 {array} ]\), then \( (A^{-1} )^3\) is equal to2022Inverse of a Matrix
  5. 5If and , then is equal to2019Product of Matrices
  6. 6If , then is2018Product of Matrices
  7. 7If and then which statement is true ?2018Product of Matrices
  8. 8The rank of the matrix is2017Rank of Matrix
  9. 9If matrix and , then is2017Inverse of a Matrix
  10. 10If and are matrices and then the value of is2016Product of Matrices
  11. 11If and are two matrices such than rank of and rank of , then2016Rank of Matrix
  12. 12If , then rank (A) is equal to2015Rank of Matrix
  13. 13If the matrix then is equal to2015Adjoint and its Properties
  14. 14If , then . ( ) is equal to2014Adjoint and its Properties
  15. 15If the points and are collinear, then the rank of the matrix will always be less than2013Rank of Matrix
  16. 16If , then trace of matrix A is2012Trace of a Matrix
  17. 17If and , then is equal to2011Basic Algebra of Matrices
  18. 18In a group (G ), then equation has a2011Basic Algebra of Matrices
  19. 19is equal to2010Adjoint and its Properties
  20. 20If and , then is perpendicular to , if is equal to2010Trace of a Matrix
  21. 21Let be the number of people in a village at time t. Assume that the rate of change of the population is proportional to the number of people2008Adjoint and its Properties
  22. 22Mean and standard deviation of marks obtained in some particular subject by four classes are given below. Report the class with best perform2008Trace of a Matrix
  23. 23, then2008Adjoint and its Properties
  24. 24and are one of the sides and medians respectively, of a triangle through the same vertex, then area of the triangle is2008Trace of a Matrix
  25. 25If the normal to the rectangular hyperbola at the point meets the curve again at , then2006Trace of a Matrix

Frequently Asked Questions

1.How many questions are available for Matrices?

This chapter includes 25 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Matrices has appeared in 15 of the 18 years of VITEEE papers covered here, with 25 questions across 15 papers - about 2 per paper it appears in.

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

Of the 25 questions analysed for this chapter, 60% are easy, 40% moderate and 0% tough. 2008 had the most, with 4 questions.

5.Which topics in Matrices should I focus on?

These topics have carried the most weightage in Matrices:

  • Adjoint and its Properties - 5 questions (20%)
  • Product of Matrices - 5 questions (20%)
  • Trace of a Matrix - 5 questions (20%)
6.Is Matrices's weightage in VITEEE going up or down?

Across all 15 papers analysed, Matrices has averaged about 1.7 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.