NCERT Solutions for Class 12 Maths Chapter 4 Determinants

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

NCERT solutions for class 12 Maths Chapter 4 - Determinants, provides solutions for all the questions enlisted under the chapter (All Exercises and Miscellaneous Exercise solutions). Maths Class 12 NCERT Solutions are solved by maths experts. CBSETuts is to bring out the very best in students through additional skill-building exercises that are tailored to their grade levels, abilities and interests. Students can download these NCERT Solutions of Class 12 mathematics and improve their skills.

In Class 12 Maths Chapter 4, students will study, how to calculate determinants, Solve matrix using different properties of determinants, area of the triangle, adjoint and the inverse of a matrix, applications of determinants and matrix and many more. Below are some important facts on determinants:

NCERT Solutions For Class 12 Maths Chapter 4

If any two rows or any two columns are identical or proportional, then the value of the determinant is zero. A square matrix A has inverse if and only if A is non-singular.
Unique solution of equation AX = B is given by X = A–1 B, where A ≠ 0.
A system of equation is consistent or inconsistent according to as its solution exists or not.
For a square matrix A in matrix equation AX = B

(i) | A| ≠ 0, there exists unique solution
(ii) | A| = 0 and (adj A) B ≠ 0, then there exists no solution
(iii) | A| = 0 and (adj A) B = 0, then system may or may not be consistent.

NCERT Solutions For Class 12 Maths Chapter 4 Exercises:

Get detailed solution for all the questions listed under below exercises:

  • Exercise 4.1 Solutions : 8 Questions (2 Long, 5 Short Answers, 1 MCQ)
  • Exercise 4.2 Solutions : 16 Questions(7 Long, 7 Short, 2 MCQ)
  • Exercise 4.3 Solutions : 5 Questions ( 4 Short Answers, 2 MCQ)
  • Exercise 4.4 Solutions : 5 Questions (4 Long, 1 MCQ)
  • Exercise 4.5 Solutions : 18 Questions (11 Long, 5 Short, 2 MCQ)
  • Exercise 4.6 Solutions : 16 Questions (13 Long, 3 Short)
  • Miscellaneous Exercise Solutions : 19 Questions (15 Long, 1 Short, 3 MCQ)

Comments

Post a Comment

Popular posts from this blog

NCERT Solutions Class 12 Maths

Image
NCERT Solutions Class 12 Maths Class 12 Maths NCERT Solutions  provides a solid conceptual base for all the topics included in CBSE class 12 maths syllabus (2018-2019). It covers all the important theorems and formulas with detailed explanations to promote a better conceptual understanding in students. NCERT Maths solutions for Class 12 will help students in the preparation of undergraduate level engineering entrance exams like JEE Mains, BITSAT, VITEEE, etc, going to be conducted this year, in 2019.CBSETuts brings you NCERT Solutions class 12 Maths , designed by our subject experts to facilitate smooth and easy understanding of concepts. These CBSE class 12 maths solutions of NCERT have a detailed step-by-step explanation of problems given in the textbooks. Apart from solutions for each chapter of CBSE Class 12 Maths, we are also providing here class 12 maths notes, solved exemplary problems and previous year questions papers, worksheets as study materials for students who are...
Read more

NCERT Solution Class 12 Maths Chapter 11- Three Dimensional Geometry

Image
NCERT Solution Class 12 Maths Chapter 11- Three Dimensional Geometry The NCERT Solutions For Class 12 Maths Chapter 11 - Three Dimensional Geometry, of the Class 12 NCERT textbooks are available here. Looking around, we can observe that everything in the real world is in a three-dimensional shape. In this chapter, students learn about three-dimensional geometry in detail. Students can easily score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook. The class 12 NCERT solutions for Three Dimensional Geometry are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the class 12 maths chapter 11 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well. The major concepts of Maths covered i...
Read more

NCERT Solution Class 12 Maths Chapter 10- Vector Algebra

Image
NCERT Solution Class 12 Maths Chapter 10- Vector Algebra The NCERT Solutions For Class 12 Maths Chapter 10  -Vector Algebra, of the Class 12 NCERT textbooks are given here. In this chapter, students learn about the difference between a scalar and a vector quantity, their properties, operations of vectors, etc,. The topic has an important role in helping the students score high marks not only on the board exams but also the competitive exams. It is important to be prepared for the various problems asked during the 12th board examination. Solving through different exercises and problem sets give students the confidence to write the exams better. These class 12 NCERT solutions for Vector Algebra are very easy to understand. Students can also avail these NCERT solutions and download it for free to practice them offline as well. The major concepts of Maths covered in Chapter 10- Vector Algebra of NCERT Solutions for Class 12 includes: 10.1 Introduction 10.2 Basic Concepts ...
Read more