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# JEE Advanced Matrix and Determinants Important Questions Last updated date: 29th Nov 2023
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## JEE Advanced Important Questions of Matrix and Determinants

One of the most scoring Maths chapters in JEE Advanced is Matrix and Determinants. A Matrix is a set of numbers, generally, for JEE Advanced, matrices may be referred to as 2D arrays. Some aspirants find square matrices easier to solve for. This chapter has sums to calculate the determinant of matrices. The important questions on Matrix and Determinants for JEE Advanced along with their solutions are provided in the below PDF. These sums have been solved by subject matter experts at Vedantu.

 Category: JEE Advanced Important Questions Content-Type: Text, Images, Videos and PDF Exam: JEE Advanced Chapter Name: Matrix and Determinants Academic Session: 2024 Medium: English Medium Subject: Mathematics Available Material: Chapter-wise Important Questions with PDF

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## Matrix and Determinants Important For JEE Advanced?

Yes, the topic of Matrix and Determinants is extremely important for the candidates who plan on applying for the JEE advanced examinations. In order to boost up the marks in the JEE advanced examination, it is advised that the student be well prepared with all the important topics that this particular chapter holds. There are at least 2-3 questions that are asked from this topic in the JEE advanced question paper. Given below are some important concepts that the student needs to know concerning the topic of Matrix and Determinants.

The term  Matrix is associated with any rectangular arrangement of numbers that are placed in the rows and n columns. It is termed a matrix of order m×n. This is an important formula, as in order to solve any question based on the given topic, this formula needs to be well understood.

### Basic Definitions

• The matrix that has only one row is termed the row matrix.

• A matrix consisting of only one column is called a column matrix.

• A matrix that is placed in the order of order m×n is called the square matrix provided that m = n.

• When  A = (aij)m×n,  it is called a zero matrix, provided that aij = 0 for all i and j.

• When A = (aij)m×n then it is termed as the upper triangular, but on a condition where if aij= 0 for i > j.

• When  A = (aij)m×n , then it is considered to be a  lower triangular matrix , only  if aij = 0 for i < j.

•  A square matrix (aij)m×n is also termed as a diagonal matrix, where aij = 0 for i ≠ j.

• When a diagonal matrix A = (aij)m×n, then it is said to be a  scalar matrix, provided that for aij = k for i = j.

• Unit matrix (Identity matrix): when a  diagonal matrix A = (aij)n , then it is referred to as a unit matrix or an identity matrix , given that   aij = 1 for i = j.

• If they have the same order then the given Matrices A and B are said to be comparable.

### JEE Advanced Important Questions of Matrix and Determinants

One of the most scoring Maths chapters in JEE Advanced is Matrix and Determinants. A Matrix is a set of numbers, generally, for JEE Advanced, matrices may be referred to as 2D arrays. Some aspirants find square matrices easier to solve for. This chapter has sums to calculate the determinant of matrices. The important questions on Matrix and Determinants for JEE Advanced along with their solutions are provided in the below PDF. These sums have been solved by subject matter experts at Vedantu.

JEE Advanced Matrix and Determinants Important Questions part-1

Matrix and Determinants Important Questions for JEE Advanced

For a square matrix having four terms, the determinant can be calculated as follows:

• IAI = Product of the first and third terms - Product of the second and fourth terms.

• (IAI is used to denote the determinant value of any matrix)

Another common question that comes from Matrix and Determinants, is finding the inverse of a matrix. A-1 is used to denote the inverse of a Matrix. If the original matrix is multiplied by the inverse of the matrix, then the resultant matrix is an identity matrix. The diagonal elements of an Identity Matrix are 1’s whereas the rest of the elements are all zeros. JEE Advanced Matrix and Determinant Important Questions and their solutions are provided in the below PDF, which can be downloaded for free.

A x A - 1 = I

Some of the common operations on matrices are addition, subtraction, multiplication, and division. Among all these, the multiplication of matrices can be a little tricky when they are not nxn matrices. If the matrices are having different dimensions, then the resulting matrix has the following dimensions:

• The no. of rows of the resultant matrix = the number of rows of the first matrix

• The no. of columns of the resultant matrix = the number of columns of the second matrix.

## FAQs on JEE Advanced Matrix and Determinants Important Questions

1. What is the registration fee for the JEE advanced exams?

The registration fees for the JEE Advanced examinations are as follows;

• The students from the general category are supposed to pay Rs 2800

• Female candidates applying for the JEE Advanced exams are to pay a total of Rs 1400.

• Candidates from the reserved category are also supposed to pay Rs 1400.

• Foreign national students from SAARC countries are to pay 75 USD

• Foreign nationals from Non-SAARC Countries are supposed to pay 150 USD

2. What are the factors that determine the cut-off marks for the JEE advanced exams?

The factors that play a major role in determining the cut off marks for the exams are as follows;

• The first factor that determines the cutoff is the total number of candidates who are eligible to apply for the JEE advanced exams.

• The second important factor that decides the cutoff is the availability of the seats in the IITs.

• The first factor responsible is the difficulty level of the exam.

• The number of candidates that actually appear for the exams also plays a very important role.

• The cutoff trends of last year’s examinations also affect the cutoff marks of the exam.

• The overall performance of the candidates who appear for the exam is also an important factor.

3. What is the use of the JEE advanced mock test?

It is often advised that the students should sit for mock examinations before appearing for the actual examination. This is because sitting for the mock exams will help the candidate familiarize themselves with the pattern of the exam. The expected question pattern will help the student analyze their areas of strength and weakness, and prepare accordingly. To avail the important questions, the students can visit the website of vedantu. The website makes sure that all the articles and the information are regularly updated so that the student is not left behind on anything. With the access of the important questions, the candidate will get an idea of the topics that need more practice and attention on.

4. Where can we get the Important questions and topics for the JEE advanced exams?

Students can get access to all the important questions and topics from the website of Vedantu. The student can visit the website and download the materials in PDF format for free. These materials are updated regularly and will help the student immensely in the preparation of their examination. Practicing these questions will help the student understand the important topics and realize the areas they might be lacking in. Apart from this, it also helps the students to learn the practice of time management.  Practicing the questions will help the student to understand the ways in which the questions are to be answered while also saving time for revision.

5. Are Matrices and Determinants hard for the JEE Advanced examinations?

No, the topic Matrices and Determiners is not hard for the JEE advanced examinations. It is the easiest topic where the candidate can score marks easily. But to achieve this, it is important that the student be thorough with all the little details that this chapter has to offer. Though this topic is not the hardest and time-consuming, it still is the most important topic for the exam. And in order to master this topic, the student needs to practice all the tricks that will help them solve the questions easily in the exam. To help the students achieve this, the website of vedantu provides the students with all the important questions and study materials that will help the students focus on the important areas of the given topic.