# 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.

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 |

Subject: | Maths |

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 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।

### Exercise 4.6 Solutions in Hindi & English

#### 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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