# NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 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 as a course books based on new CBSE Curriculum 2018-19.

## NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6

### Class 12 Maths Chapter 4 Exercise 4.6 Solutions in English

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6 Determinants in English Medium. Exercise 4.6 is basically based on the solutions of linear equations in three variables using adjoint & inverse of a matrix. Click here to get the solutions of other exercises of Class 12 Mathematics Chapter 4, If you need Solutions in Hindi, CLICK HERE for Hindi Medium Solutions.        ### Class 12 Maths Chapter 4 Exercise 4.6 सारणिक के हल हिंदी में

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6 Determinants in Hindi Medium. 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। Click here to get the solutions of other exercises of Class 12 Mathematics Chapter 4, Go back to English Medium Solutions.        Go Back to Top of English Medium Solutions & Hindi Medium Solutions.

#### 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.