# NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.4

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.4 Determinants in Hindi Medium as well as English Medium. 12th Maths Ex. 4.4 is for those users who are concerned with NCERT Textbooks in 2020-2021 for their studies and CBSE Exams 2020-2021. Exercise 4.4 is based on the expansion of determinants and the basic ideas of Co-factor and Minors. Co-factors help to determine the inverse of a Matrix as well as helps in the solutions of simultaneous system of linear equations. All the questions are given below in Hindi and English Medium. Videos related to each question of 12th Maths Ex. 4.4 are given below with complete explanation.

UP Board students also can download UP Board Solutions for 12th Mathematics Exercise 4.4 here. We have updated all the solutions as per the suggestions received by the students/teachers. Your suggestions are important in improving this website contents.## NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.4

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

Chapter 4: | Exercise 4.4 |

### 12th Maths Exercise 4.4 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.4 Determinants solutions based on Minors and Co-factors. We can use cofactors of any row or column along with elements to solve the determinants. Get the NCERT Books in PDF and NCERT solutions of other exercises of Class 12 Mathematics Chapter 4 from the main page. यह प्रश्नावली सारणिकों के अवयवों के उपसारणिक तथा सारणिकों के उपखंड पर आधारित है। सारणिक को हल करते समय हम किसी भी सतम्भ या पंक्ति के सहखंडों का प्रयोग कर सकते हैं।

### Class 12 Maths Exercise 4.4 Solutions in Hindi & English

#### Class 12 Maths Exercise 4.4 Question 1 and 2 In Video

#### Class 12 Maths Exercise 4.4 Question 2, 3 In Video

#### Class 12 Maths Exercise 4.4 Question 4, 5 In Video

#### About 12th Maths Exercise 4.4 of Determinants

It is very important to know that how to calculate Minors and Cofactors as it is required during the solutions of determinants as well as to find the inverse of a Matrix. To find the inverse of a Matrix, we need to calculate Cofactors in order to find adjoint of Matrix. In this exercise the main mistake occurs due the selection of sign of cofactors, so be careful during the calculation of cofactors.

##### सारणिकों के सहखंड

अगर आप सारणिकों के सहखंड निकलना जानते हैं तो आगे आने वाली प्रश्नावलियों में कोई भी दिक्कत नहीं होगी क्योंकि इसकी आवश्यकता लगभग पूरे अध्ध्याय में पड़ती है। सहखंडों को निकलते समय चिन्हों का विशेष ध्यान रखना चाहिए क्योंकि अधिकतर गलतियाँ अक्सर चिन्हों के कारण ही होती हैं।

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##### What are the uses of matrix and determinant?

A matrices is normally used to represent the coefficients of variables in a system of linear equations whereas the properties of determinant help us to solve these equations. Determinants is also used in calculus as the Jacobian determinant.

##### Is determinant exist for a non-square matrix also?

No, determinants exist only for a square matrix only. The number of rows must be same as number of columns.

##### In what situation the determinant of a matrix is 0?

For a non-invertible square matrix, the determinant of a square matrix is zero. Moreover, when the determinant of a matrix is zero, the system of linear equations associated with the matrix is dependent.

##### Can a determinant be negative also?

Determinants of square matrices may be negative, positive or zero.