NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1 (Ex 3.1)
Vedantu provides simple-to-understand and well-crafted NCERT Solutions forExercise 3.1 Class 12 Maths Matrices. These solutions cover all important topics in the ex 3.1 Class 12 Maths with detailed explanations. Since our experts understand the importance of Maths examination well in Class 12th; our experts strive their best to help students like you to understand the complete Matrices concepts. Our NCERT Class 12 Maths Exercise 3.1 solutions will prove to be most helpful to you in your assignments, preparations for CBSE board examinations and practice sessions.
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Matrices Class 12 NCERT Solutions 3.1 Available In PDF Format
NCERT Solutions for Class 12 Maths Chapter 3 Ex 3.1 are available in PDF format. You can access these CBSE Textbook solutions for Exercise 3.1 Class 12 Maths at any time for free. The question wise answers for the Exercise questions can be very helpful for you at the time of CBSE board exams.
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Step By Step Solutions For Class 12 Maths Chapter 3 Exercise 3.1
Solutions for Exercise 3.1 Maths Class 12 Matrices are provided in details to make it easy for you to understand the complete concept in a simpler way. Since Matrices is one important Chapter that holds great importance in the 12th board examination, so it becomes vital to have a thorough and comprehensive understanding of the topic. This way, you will be able to score better and higher in your 12th Class CBSE board examinations.
Many times, a lot of students gets stuck and confused in this Chapter and finds it really tough to solve matrix Class 12 Exercise 3.1. But with Vedantu’s,NCERT Class 12 Maths Exercise 3.1 solutionsyou can learn and understand all the concepts with proper understanding and ease.
What is there In Class 12th NCERT Maths Chapter 3 Matrices Exercise 3.1?
Matrices is such an important Chapter in the NCERT books of Class 12th. Mainly, matrices are used to represent the linear transformation from and to the vector field. A rectangular array of a x b numbers (be it complex or real) in the way of horizontal lines (known as rows) and b number of vertical lines (known as rows), is known to be the matrix of order a by b, written as a x b matrix. Usually, this type of array is enclosed by ( ) or [ ]. Remember - Matrices is a very important part in the CBSE exams, which play a crucial factor in various aspects!
Vedantu’s notes and solutions make it extremely simple for students to understand the complete concept of Matrices efficiently and effectively. It gets so important to understandClass 12 Maths Chapter 3 Exercise 3.1 to score well in upcoming board exams.
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Vedantu’s solutions forExercise 3.1 Class 12 are the ideal go-to option for you to understand the complete concepts of Matrices Chapter. These solutions are created in such an easy way, which can easily make you understand the whole concept with ease.
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One On One Interaction With Experts In Case You Find Any Doubts
In Class 12th Matrices Chapter, many times you may face various difficulties while solving ex 3.1 Class 12 Mathsquestions. This is the point, in which, either you put more efforts to understand it or let the topic go (by ignoring it). But with Vedantu’s NCERT Solutions, this is not the case anymore!
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FAQs (Frequently Asked Questions)
1. Does Vedantu cater to exercise-wise NCERT Solutions for Class 12 Maths Chapter 3 Matrices?
Yes, Vedantu offers exercise-wise NCERT Solutions for Class 12 Maths Chapter 3 Matrices. Vedantu is the leading ed-tech company where students can avail NCERT Solutions for all subjects. NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.1 is available on the platform for free. All you need to do is download the PDF file. These solutions are provided by expert Math tutors at Vedantu. Students can clear doubts related to the particular exercise or other exercises of Chapter 3 Matrices by visiting Vedantu’s site.
2. What are the benefits of NCERT Solutions for Class 12 Maths Chapter 3 Matrices for Ex 3.1?
Students must refer to online exercise-wise NCERT Solutions for Class 12 Maths Chapter 3 Matrices to understand the chapter in a better manner. These solutions, prepared by online learning sites like Vedantu, are the most comprehensive study material. It provides instant doubt resolution and students can finish off the exercise easily. The solutions are available in the downloadable PDF format on Vedantu. This allows students to study at the comfort of their homes. NCERT Solutions for Class 12 Mathematics Chapter 3 Matrices Ex 3.1 and other exercises include step-by-step explanations of each problem.
3. How to define a Matrix? What is the Order of a Matrix?
A matrix can be defined as a rectangular array of elements which can be numbers, symbols or expressions. These elements are generally arranged in rows and columns. The order of a matrix is nothing but the number of rows and columns. The plural of matrix is matrices.
4. Name the different Types of Matrices.
The different types of matrices are as follows:
Upper Triangular Matrix
Lower Triangular Matrix
Students can learn about each type of matrix in detail by studying Class 12 Maths Chapter 3. In case of any doubts, students can download the solutions available on Vedantu and even enrol for LIVE Classes on the platform.
5. What is the use of Matrices according to Chapter 3 of Class 12 Maths?
Chapter 3 of Class 12 Maths is regarding Matrices. This is a type of numerical where you will get a few numbers or elements arranged inside the third brackets. You will be able to perform addition, subtraction, multiplication, etc. on the matrices. The use of learning matrices is their application in the area of vectors. When you study vectors, you will have to transform the linear equations to and from the vector field. So this becomes important to study and understand this chapter well.
6. How do you determine the number of elements from a matrix?
The Chapter 3 Matrices of Class 12 will introduce you to a few new terms among which elements are one. Elements are the numbers arranged in rows and columns inside a matrix bracket. The number of elements can be very easily determined or calculated by simply multiplying the number of rows with the number of columns present inside the third bracket. This will give the number of total elements inside the matrix. For example, if there are three rows and four columns then the number of elements will be 3*4= 12.
7. How can the order of a matrix be calculated?
Order of the matrix is basically the representation of the matrix in terms of rows and columns. If there are m number of rows in a matrix and n number of columns, then the order of the matrix will be written as m*n. The order of the matrix is important since it helps us to calculate the number of elements and also to understand the nature of the matrix. The order of matrices needs to be similar in order to be able to equate two or more numbers of matrices. If the order is not the same then it cannot be equated.
8. What happens to the elements of two different matrices when the matrices are equal?
When you have two equal matrices, with an equal sign given in between them, then we will know that the corresponding elements of those two matrices are equal as well. For example, if the first element of the first matrix is two and the first element of the second matrix is unknown that is represented as ‘x’ then the value of x will be equal to two. This is how we can find the unknown elements from equal matrices.
9. Is the Matrix Chapter important for boards?
Yes, the Matrix Chapter from Class 12 is very important. This is because every year there are guaranteed questions from this chapter that come in your board exam. So it becomes necessary to have clear concepts in this Chapter and also be perfect with the sums from this Chapter. If you practice all the NCERT questions and solutions then it will become easier for you to score well in the Maths Class 12 exam. Also, if you are willing to appear for competitive exams like JEE Mains etc after your boards then this chapter must be studied well.