# NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6 (Ex. 4.6) Determinants in Hindi Medium as well as English Medium for all the boards (CBSE, Uttarakhand, UP Board, MP Board, Bihar) who are using NCERT Books 2020-21. UP Board students are now using NCERT textbooks for their board exams. So, they can download UP Board Solutions for 12th Maths Exercise 4.6 form here in PDF format. In exercise 4.6, we will learn, how to check the consistency of the system of linear equation, how do we solve linear equation using matrix and determinants. Normally, a six marks questions asked from this exercise in CBSE board exams.

So, the exercise 4.6 of 12th Maths is one of the important exercises for board exams. Download NCERT Solutions of other subjects updated for new academic session based on new CBSE Curriculum 2020-21.## NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6

Class: 12 | Maths (English and Hindi Medium) |

Chapter 4: | Exercise 4.6 |

### 12th Maths Exercise 4.6 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6 Determinants in English & Hindi Medium updated for new academic session 2020-2021. Exercise 4.6 is basically based on the solutions of linear equations in three variables using adjoint & inverse of a matrix. Download NCERT Books and solutions with offline apps for offline use. प्रशनावली ४.६ में तीन चरों वाले रैखिक समीकरणों को आव्यूह की मदद से हल करना है। हम तीन से अधिक चरों वाले समीकरणों को भी इसी विधि से हल कर सकते है।

### Class 12 Maths Exercise 4.6 Solutions in Hindi & English

#### Class 12 Maths Exercise 4.6 Question 1, 2, 3 in Video

#### Class 12 Maths Exercise 4.6 Question 4, 5 in Video

#### Class 12 Maths Exercise 4.6 Question 6, 7 in Video

#### Class 12 Maths Exercise 4.6 Question 8, 9 in Video

#### Class 12 Maths Exercise 4.6 Question 10, 11 in Video

#### Class 12 Maths Exercise 4.6 Question 12, 13 in Video

#### Class 12 Maths Exercise 4.6 Question 14, 15 in Video

#### Class 12 Maths Exercise 4.6 Question 16 in Video

#### About 12 Maths Exercise 4.6

In Exercise 4.6, we have to check whether the given linear equations are consistent or inconsistent. If the equations are consistent, then using Inverse of Matrix, we have to find the value of unknown variable. In CBSE Class 12, we have to solve the equations containing maximum of three variables but later on we can find the values of variables more than 3 also. Some applications based on Matrix is also given in this exercise.

##### HOW TO SOLVE SYSTEM OF LINEAR EQUATIONS

First of all find |A| and then check whether it is consistent or inconsistent. If is is consistent, find the Inverse of A and apply the formula X = A-1B, to find the unknown variables. If |A| = 0, find (adj A).B. If (adj A).B ≠ 0, then there is no solutions of the given system of linear equations. If it is non-zero, there may be no solutions or infinite many solutions.

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##### Are all matrices invertible?

No, only square matrices are said to be invertible matrices.

##### Is Exercise 4.6 of 12th Maths important as per examination point of view?

A six marks question is asked from Class 12 Maths Exercise 4.6 most of the time in CBSE Exams. The solutions of system of linear equations is the base for the question.

##### What is a one to one matrix?

One to one matrix is used in linear transformation. A linear transformation that maps all the distinct points into distinct points is said to be a one-to-one transformation.

##### Can you find the determinant of a 3×4 matrix?

No, determinant of matrix can be calculated if it is a square matrix. 3×4 is not a square matrix.