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RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.3) Exercise 6.3

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RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.3) Exercise 6.3 - Free PDF

The subject of Mathematics might appear difficult if not understood properly. It is the most scoring subject if the student has a stronghold on the topics. To help the student in achieving this, the website of Vedantu provides the candidates with the RD Sharma solutions for every topic that the syllabus of Class 12 Math offers. These solutions are aimed at clearing the doubts of the candidates, while also providing them with enough practice and guidance to be able to solve any question asked in the examination hall. 


The students can easily download these in the PDF format from the website of Vedantu.

Competitive Exams after 12th Science

Free PDF download of RD Sharma Class 12 Solutions Chapter 6

Free PDF download of RD Sharma Class 12 Solutions Chapter 6 - Determinants Exercise 6.3 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 6 - Determinants Exercise 6.3 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering Entrance Exams.

FAQs on RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.3) Exercise 6.3

1. What is a singular and a non-singular matrix in the Chapter Determinants according to RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6)?

When the value of a Determinant corresponding to the given Matrix is zero, then the Matrix is referred to as the Singular Matrix. When the value of the Determinant corresponding to the given Matrix is not zero, then it is termed as a Non-Singular Matrix. For instance, for the given Square Matrix A, when |A| ≠ 0, then it is Non Singular Matrix; but when  |A| = 0, then it is termed as a Square Matrix. 


For more such information on the given topic, the students can visit the website of Vedantu  and access the RD Sharma solutions for free. The practice of these solutions will help the student score more than 90 in their board examinations. 

2. What are the properties of Determinants mentioned in RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6)?

The properties of the Determinants are as follows:

  • When all the values of all the elements of any given row or column of the given Determinant is zero , then the value of the Determinant is also zero.

  • When each element of any of the one rows or columns of the given Determinant is the multiple of the Scalar K, then the value of the given Determinant proves to be the multiple of K.

  • When any two rows or columns are interchanged in a Determinant, then the value of the obtained Determinant is negative to the value of the given Determinant. 

  • When the corresponding elements of any two given rows or columns of the Determinant is identical or proportional, then the value of the Determinant is said to be zero.

For more insight into the Chapter, the students are suggested to refer to the website of Vedantu.

3. Where to download the RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6)?

The RD Sharma solutions for Class 12 Maths Chapter 6 can be easily downloaded from the website of Vedantu . These can be downloaded in the PDF format for free and can even be accessed offline. The website makes sure that the students are provided with the best materials and guidance, and thus all the materials are updated regularly to keep the students up to date with the curriculum. The practice of these solutions will help the students immensely in the preparation of their board examinations. The skills and the insight of the students will be developed so as to help them not just in their upcoming board exams, but also in their future prospects. 

4. What are the chapters included in RD Sharma Class 12 Solutions ?

The chapters included in RD Sharma for Class 12 Maths are as follows:

  • Relations

  • Functions

  • Binary Operations

  • Inverse Trigonometric Functions

  • Algebra Of Matrices

  • Determinants

  • Adjoint And Inverse Of A Matrix

  • Solution Of Simultaneous Linear Equations

  • Continuity

  • Differentiability

  • Differentiation

  • Higher Order Derivatives

  • Derivative As A Rate Measure

  • Differentials, Errors And Approximations

  • Mean Value Theorems

  • Tangents And Normals

  • Increasing And Decreasing Functions

  • Maxima And Minima

  • Indefinite Integrals

  • Definite Integrals

  • Areas Of Bounded Regions

  • Differential Equations

  • Algebra Of Vectors

  • Scalars Or Dot Product

  • Vector Or Cross Product

  • Scalar Triple Product

  • Direction Cosines And Direction Ratios

  • Straight Line In Space

  • The Plane

  • Linear Programming

  • Probability

  • Mean And Variance Of A Random Variable

  • Binomial Distribution

The practice of these solutions will not just help the student score more than 90 in their board examinations, but it will also prepare the student for other competitive examinations for their higher education. 

5. Is Class 12 Math Chapter 6 hard?

No, the Class 12 math Chapter 6 is not hard. It might appear hard to the students who are not thorough with all the important points, formulas, theorems etc that this chapter inculcates. Therefore, it is quite clear that in order to do well in the Board Examination, the students are required to be well prepared with all the topics that their syllabus offers. To help the student in achieving this, the website of Vedantu  provides the candidates with the RD Sharma solutions for the given topic. The students can easily download these in the PDF format and utilize it to prepare for the exam. With adequate practice and revision the student will find the topic easier and thus will be able to score good grades in the examination.