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RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.1) Exercise 6.1

Last updated date: 23rd Apr 2024
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RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.1) Exercise 6.1 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 6 - Determinants Exercise 6.1 solved by Expert Mathematics Teachers on All Chapter 6 - Determinants Ex 6.1 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.

Mathematics is a crucial subject for anyone seeking to score well in Std 12 Board exams and the JEE exams that will follow. If you take up architecture, engineering or so many other careers, a form of Mathematics will always stay with you! Why not learn to enjoy it and strengthen our fundamentals through doubt-solving and consistent practice? 

Competitive Exams after 12th Science

Importance of Determinants

Chapters like Determinants and Integers can sound scary but who doesn’t love a good challenge? If we look at it philosophically, we live in a universal matrix! Heard of that popular Hollywood movie? That’s how interconnected Maths is with our lives. Did you know that India has given birth to some of the most famous Mathematicians of all time like Aryabhatta and Bhaskaracharya? These were men in tune with themselves, with the universe around them. 

Now let us ask - what are Determinants? They are a system of algebraic equations that can be expressed in the form of matrices. In Class 12, we particularly look at how they find expression in Linear Algebra. Because Determinants are higher-order equations, they find utility in Science, Social Sciences, Economics, Engineering and so on. 

Whether you are struggling with Determinants or looking to strengthen your existing conceptual understanding, RD Sharma Solutions is your go-to book! The PDF has solutions put together by Vedantu’s expert team of teachers and the questions are some of the toughest you can come across. Hence it ensures you get excellent practice! 

FAQs on RD Sharma Class 12 Solutions Chapter 6 - Determinants (Ex 6.1) Exercise 6.1

1. I have a fear of advanced Mathematics. How do I overcome it?

The moment we fear something, we experience a block in our minds. To overcome that becomes difficult. Too many people around us hype up this subject as being a tough one. It might be challenging, but one doesn’t need to fear as long as there is scope to understand something and be open to learning. The same goes for Mathematics at this stage. All you need to do is start at ground zero. Take some good time and jot down the areas you are facing challenges in or areas that make you afraid. Then approach your teachers and you can take the help of Vedantu’s expert teachers too. Use our RD Sharma Solutions and NCERT Solutions to practise and practise consistently. That’s it! You’ll ace Mathematics and bid your fears goodbye!

2. What are the properties and types of Determinants? 

The 1st property is that interchanging the rows and columns of a matrix does not impact the value of a Determinant. However, this is applicable only for square matrices. Next is when any two rows or columns of a matrix are interchanged, then the sign of the determinant for that matrix changes. The 3rd property is that if the corresponding values in any two rows or columns of a matrix are identical, then the value of the determinant will be zero. Also if the value of each element of a row or a column is zero, then the value of the determinant is also zero. 

3. How can I enhance my preparations for determinants?

Any topic of Mathematics, especially advanced Mathematics has only two ways to be dealt with: strengthen your fundamentals and practise, practise, practise! There is no shortcut here. You can certainly get enough guidance especially with a platform like Vedantu in existence. Over 40,000 have benefited from the Vedantu experience. You can choose to request for Personalised Tuition with our expert and passionate teachers. You have the option of using our Revision Notes which can enhance your theoretical knowledge of Mathematics. RD Sharma Solutions and NCERT Solutions are always available!

4. What are some uses of Determinants?

Determinants are useful for solving linear equations, studying linear transformations, square matrices and numbers. They can also be used for changing variables in integers. One can also use Determinants to decide whether a matrix has an inverse or if an inverse has cofactors. It helps find the area and volume of shapes and also helps determine if a system of equations has a unique solution. Since it is a form of higher-order Mathematics and has advanced versions too, it is used in complex disciplines such as Science, Engineering and so on in various linear equations. 

5. What are the benefits of using RD Sharma Solutions? 

Vedantu’s RD Sharma Solutions provide you with comprehensive solutions to some of the toughest questions on Determinants. It is prepared by Expert Teachers on our panel who truly care for the progress of students across the country. It is handy to refer to as it is easily available in PDF format. All you need to do is sign in, register yourself and download the document from the RD Sharma Solutions tab. You can practise hard, enhance your conceptual understanding and score high in your papers!