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# RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.5) Exercise 6.5

Last updated date: 04th Aug 2024
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## RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.5) Exercise 6.5 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 6 - Determinants Exercise 6.5 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 6 - Determinants Ex 6.5 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Competitive Exams after 12th Science

## Determinants

Definition of Determinants-

Determinants can be defined as the scalar quantity which is obtained from the sum of products of the element in a Square Matrix according to the prescribed rule.

• It is helpful in finding the adjoint and inverse of a Matrix.

• They act as a scaling factor for Matrices.

Some of the fundamental properties of Determinants are as follows:

• For an identity Matrix, the determinant is always counted as one.

• One of the important properties of a Determinant is that it always remains unaltered; this means that if we change the rows to columns or vice Versa still the Determinant would remain the same.

• While calculating the Determinant for an element if all the elements are in a room all the column of concern is zero which results in the overall Determinant being zero as well.

• While calculating the Determinant if we interchange any two rows for columns for that sake the resultant Determinant sign also changes.

• While calculating the Determinants for two sets of rows or columns,  if all the elements of row 1 show proportionality to all the elements of row 2 then the resultant Determinant is zero.

• In cases where all the elements in a row or column calculation of a Determinant are multiplied by a non-zero constant result in the Determinant which gets multiplied by the same constant.

### Outline for RD Sharma Chapter 6 Class 12:

Exercise 6.1: 24 question

Exercise 6.2: 73 question

Exercise 6.3: 18 question

Exercise 6.4 10 question

Exercise 6.5: 18 question

Exercise 6 V S A Q: 21 question

## FAQs on RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.5) Exercise 6.5

1. Can I repeat all the questions from RD Sharma during the exam?

If you have gone through all the questions from RD Sharma way prior to the exam, the technique to re-practice the important question is to mark the question which you find difficult or conceptually enlightening with a highlighter so that it's easy for your eye to catch those particular question from all the pool of question. And then all you can do is practice those particular questions on the day before the examination. If you sit with the whole RD Sharma a day before the exam it would lead to a panic stage as you might not be able to solve all the questions and not being able to solve those questions would leave you in a panic stage.

So in my particular opinion don’t go with all the questions of RD Sharma a day before the examination.

2. Where can I find all the solutions of Class 12 Chapter 6 RD Sharma?

On Vedantu we provide you with solutions to all the exercises from RD Sharma. Vedantu provides all these services to their students free of cost, so it’s economic to students also. Along with solved exercises, we provide you with all-time assistance in your doubts solving with a team of highly experts and professionals of a particular field.

The services provided on Vedantu are one-on-one and highly encrypted, respecting our student’s privacy, where they can ask their doubts easily without much trouble.

3. Which all books can I refer to for Class 12 Maths?

NCERT acts as a basic book for all your concepts and practice of concepts of Maths, but apart from NCERT, R.D Sharma is another book that could be referred for Mathematics problems, apart from this the other books are R. S Aggarwal and S. Chand. All these books are mostly referred to as books for Mathematics problems and can be used by students to ensure strong concepts and excel in their final examination.

4. What can I do to score good marks in class 12 Chapter 6?

Note making is one of the practices a student can learn to score good marks, revision notes made during class hours checks students’ attentiveness in Class and enable students to grasp the concept more easily. Apart from this, notes make it easier and time effective to do the revision faster the night before the exam thus giving more time for some problem-solving. As a class 12th student for the CBSE board exam preparation for you, solving NCERT books and R. D sharma must be sufficient enough if all your concepts are clear and all your doubts are resolved. All you can do is re-practice the problems that you found to be important, and be thorough with all your formulas and fundamentals.