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JEE 2022 | Class 12

JEE Important Chapter - Matrices and Determinants

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What are Matrices and Determinants?

What are Matrices and Determinants?


Last updated date: 18th Mar 2023
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Matrix and Determinant is one of the most intriguing, simple, and significant subjects in mathematics. Every year, at least 1 - 3 problems from this chapter will appear in JEE Main and other entrance examinations. This chapter is completely new from the student's perspective, as it will be covered in 12th grade. 


Determinants and matrices are used to solve linear equations by applying Cramer's rule to a collection of non-homogeneous linear equations. Only square matrices are used to calculate determinants. When a matrix's determinant is zero, it's known as a singular determinant, and when it's one, it's known as unimodular. The determinant of the matrix must be nonsingular (i.e., its value must be non-zero) for the system of equations to have a unique solution. Let us look at the definitions of determinants and matrices, as well as the various types of matrices and their properties, using examples.


JEE Main Maths Chapter-wise Solutions 2022-23 


Important Topics of Matrices and Determinants

  • Matrices

  • Matrix Addition

  • Square Matrix

  • Matrix Operations

  • Matrix Multiplication

  • Elementary Operation of Matrix

  • Properties of Determinant

  • Determinant of a 3 x 3 Matrix

 


Important Concepts of Matrices and Determinants

Definition of Matrix

Matrices are a type of ordered rectangular array of numbers used to represent linear equations. There are rows and columns in a matrix. On matrices, we can execute mathematical operations such as addition, subtraction, and multiplication. The number of rows and columns in a matrix represents the order of the matrix. Let there are m rows and n columns in a matrix, then its order will be m x n.


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Answer: 0


Conclusion

In this article, we have elaborated on concepts and solutions to questions on the topic Determinants and Matrices. We have also learn how to find determinant of a matrix (determinant of a matrix formula) and properties of matrices and determinants. Everything you're looking for is available in a single location. Students can carefully read through the concepts, definitions and questions in the PDFs, which are also free to download and understand the concepts used to solve these questions. This will be extremely beneficial to the students in their exams.


Important Related Links for JEE Main 2022-23

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JEE Main Important Dates

JEE Main Important Dates

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JEE Main 2023 January and April Session exam dates and revised schedule have been announced by the NTA. JEE Main 2023 January and April Session will now be conducted on 24-Jan-2023 to 31-Jan-2023 and 6-Apr-2023 to 12-Apr-2023, and the exam registration closes on 12-Jan-2023 and Apr-2023. You can check the complete schedule on our site. Furthermore, you can check JEE Main 2023 dates for application, admit card, exam, answer key, result, counselling, etc along with other relevant information.
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JEE Main Information

JEE Main Information


Last updated date: 18th Mar 2023
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Application Form
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Reservation Policy
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Exam Centres
NTA has announced the JEE Main 2023 January session application form release date on the official website https://jeemain.nta.nic.in/. JEE Main 2023 January and April session Application Form is available on the official website for online registration. Besides JEE Main 2023 January and April session application form release date, learn about the application process, steps to fill the form, how to submit, exam date sheet etc online. Check our website for more details. April Session's details will be updated soon by NTA.
JEE Main 2023 applicants should be aware of the eligibility criteria before applying to the exam. NTA has released all the relevant information on the official website, i.e. https://jeemain.nta.nic.in/. JEE Main 2023 aspirants should have passed Class 12th or any other equivalent qualifying examination in 2022, 2021, or students appearing in the Class 12th final exam in 2023 can also apply. For further details, visit our website.
As per the union government’s norms, NTA has released the JEE Main 2023 January and April session reservation criteria for different candidates’ categories (SC/ST/OBC/PwD), All India Quota, State Government Quota, Deemed Universities, and more. You can check more details on Vedantu website.
NTA will release the admit card for JEE Main 2023 January and April Sessions at https://jeemain.nta.nic.in/ 15 days prior to the exam date for the registered candidates. The admit card will contain information such as the name and contact details of the candidate, the exam centre, reporting time, and examination schedule along with other important instructions for JEE Main 2023 January and April Sessions.
The NTA releases the list of JEE Main exam centres on its official website. Check JEE Main Test Centres List including states, cities here as well. We provide the complete list of JEE Main exam centres for 2023 along with the exam city & code at Vedantu. Also, check the list of documents allowed at the JEE Main exam test centres. Find all about the JEE Main 2023 exam centres, cities, location, address and code here.

Last updated date: 18th Mar 2023
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It is crucial for the the engineering aspirants to know and download the JEE Main 2023 syllabus PDF for Maths, Physics and Chemistry. Check JEE Main 2023 syllabus here along with the best books and strategies to prepare for the entrance exam. Download the JEE Main 2023 syllabus consolidated as per the latest NTA guidelines from Vedantu for free.
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JEE Main 2023 Study Material

JEE Main 2023 Study Material

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JEE Main 2023 Study Materials: Strengthen your fundamentals with exhaustive JEE Main Study Materials. It covers the entire JEE Main syllabus, DPP, PYP with ample objective and subjective solved problems. Free download of JEE Main study material for Physics, Chemistry and Maths are available on our website so that students can gear up their preparation for JEE Main exam 2023 with Vedantu right on time.
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JEE Main Question Papers

JEE Main Question Papers

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Download JEE Main Question Papers & ​Answer Keys of 2022, 2021, 2020, 2019, 2018 and 2017 PDFs. JEE Main Question Paper are provided language-wise along with their answer keys. We also offer JEE Main Sample Question Papers with Answer Keys for Physics, Chemistry and Maths solved by our expert teachers on Vedantu. Downloading the JEE Main Sample Question Papers with solutions will help the engineering aspirants to score high marks in the JEE Main examinations.
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JEE Main 2023 Book Solutions and PDF Download

JEE Main 2023 Book Solutions and PDF Download

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Last updated date: 18th Mar 2023
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In order to prepare for JEE Main 2023, candidates should know the list of important books i.e. RD Sharma Solutions, NCERT Solutions, RS Aggarwal Solutions, HC Verma books and RS Aggarwal Solutions. They will find the high quality readymade solutions of these books on Vedantu. These books will help them in order to prepare well for the JEE Main 2023 exam so that they can grab the top rank in the all India entrance exam.
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NCERT Book for Class 12 Maths
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NCERT Book for Class 12 Physics
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NCERT Book for Class 12 Chemistry
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H. C. Verma Solutions
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R. D. Sharma Solutions
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JEE Main Mock Tests

JEE Main Mock Tests

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JEE Main 2023 free online mock test series for exam preparation are available on the Vedantu website for free download. Practising these mock test papers of Physics, Chemistry and Maths prepared by expert teachers at Vedantu will help you to boost your confidence to face the JEE Main 2023 examination without any worries. The JEE Main test series for Physics, Chemistry and Maths that is based on the latest syllabus of JEE Main and also the Previous Year Question Papers.
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JEE Main 2023 Cut-Off

JEE Main 2023 Cut-Off

JEE Main Cut Off

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NTA is responsible for the release of the JEE Main 2023 January and April Session cut off score. The qualifying percentile score might remain the same for different categories. According to the latest trends, the expected cut off mark for JEE Main 2023 January and April Session is 50% for general category candidates, 45% for physically challenged candidates, and 40% for candidates from reserved categories. For the general category, JEE Main qualifying marks for 2021 ranged from 87.8992241 for general-category, while for OBC/SC/ST categories, they ranged from 68.0234447 for OBC, 46.8825338 for SC and 34.6728999 for ST category.
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JEE Main 2023 Results

JEE Main 2023 Results


Last updated date: 18th Mar 2023
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NTA will release the JEE Main 2023 January and April sessions exam dates on the official website, i.e. {official-website}. Candidates can directly check the date sheet on the official website or https://jeemain.nta.nic.in/. JEE Main 2023 January and April sessions is expected to be held in February and May. Visit our website to keep updates of the respective important events of the national entrance exam.
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JEE Main 2023 state rank lists will be released by the state counselling committees for admissions to the 85% state quota and to all seats in IIT colleges. JEE Main 2023 state rank lists are based on the marks obtained in entrance exams. Candidates can check the JEE Main 2023 state rank list on the official website or on our site.
The NTA will conduct JEE Main 2023 counselling at https://josaa.nic.in/. There will be two rounds of counselling for admission under All India Quota (AIQ), deemed and central universities, NITs and CFTIs. A mop-up round of JEE Main counselling will be conducted excluding 15% AIQ seats, while the dates of JEE Main 2023 June and July session counselling for 85% state quota seats will be announced by the respective state authorities.
NTA is responsible for the release of the JEE Main 2023 June and July Session cut off score. The qualifying percentile score might remain the same for different categories. According to the latest trends, the expected cut off mark for JEE Main 2023 June and July Session is 50% for general category candidates, 45% for physically challenged candidates, and 40% for candidates from reserved categories. For the general category, JEE Main qualifying marks for 2021 ranged from 87.8992241 for general category, while for OBC/SC/ST categories, they ranged from 68.0234447 for OBC, 46.8825338 for SC and 34.6728999 for ST category.

Last updated date: 18th Mar 2023
Total views: 89.7k
Views today: 10

Want to know which Engineering colleges in India accept the JEE Main 2023 scores for admission to Engineering? Find the list of Engineering colleges accepting JEE Main scores in India, compiled by Vedantu. There are 1622 Colleges that are accepting JEE Main. Also find more details on Fees, Ranking, Admission, and Placement.
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FAQs on JEE Important Chapter - Matrices and Determinants

FAQ

1. What is the order of matrices and determinants?

A matrix has an order of m x n because it has m rows and n columns, whereas a determinant has an order of n x n because it has n rows and n columns( it should have an equal number of rows and columns).

2. Who is the father of matrices?

Arthur Cayley, known as the "Father of Matrices," was a brilliant mathematician. On August 16, 1821, he was born. In 1858, Arthur Cayley presented the conceptual explanation of the matrix in his Memoir on the Theory of Matrices. As a result, matrices became one of the most important branches of mathematics in the research. He primarily worked on Algebra and was instrumental in the establishment of the modern British pure mathematics school.

3. What are the unique uses of matrices and determinants?

The matrix has numerous applications in data science and artificial intelligence. The matrix inversion method can be used to solve a large number of algebraic equations. A matrix's transpose, adjoint, and inverse can also be found.

JEE Main Upcoming Dates

JEE Main Upcoming Dates

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JEE Main Exam April Session Ends
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