# NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2 Determinants

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants consists of questions related to the properties of determinants. The properties of determinants simplify its evaluation by obtaining the maximum number of zeros in a row or a column. These properties are true for determinants of any order. The topic holds great relevance in real life and hence needs thorough practice and revision. NCERT solutions Class 12 maths Chapter 4 Exercise 4.2 comprises 22 sums, sample problems, examples, and illustrations that enable students to learn how determinants operate.

With the practice of the questions provided in these solutions, students can easily clear all their doubts related to changing rows, columns, or other elements in determinants. These solutions are a great means to prepare for board exams and various competitive tests as they promote problem-solving skills in students. Class 12 Maths NCERT Solutions Chapter 4 Exercise 4.2 is also available in a scrollable PDF format that students can download by clicking on the links below.

**ā** Download NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2

**Exercise 4.2 Class 12 Chapter 4 **

### More Exercises in Class 12 Maths Chapter 4

- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.1
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.3
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.4
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.5
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.6
- NCERT Solutions Class 12 Maths Chapter 4 Miscellaneous Exercise

## NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2 Properties

NCERT Solutions for Class 12 Maths Chapter 4 is an amazing resource prepared to facilitate precise learning of determinant properties. Some of the properties and rules related to Determinants are:

- The value of the determinant remains unchanged if its rows and columns are interchanged.
- If we interchange any two rows or columns, then the sign of the determinant changes.
- If any two rows or columns of a determinant are identical then the value of the determinant is zero. This implies that the determinant is zero if all elements of two rows or columns are the same.
- If we multiply each element of a row or a column of a determinant with a constant k, then its value gets multiplied by k.
- If the elements of a row or column of a determinant are expressed as a sum of two or more terms, then the determinant can be expressed as a sum of two or more determinants.

NCERT solutions are beneficial in learning more about such properties, terms, and identities. By solving the sample papers and examples provided in the Class 12 Maths NCERT Solutions Chapter 4 Exercise 4.2, it is easy to establish an in-depth conceptual understanding of each topic.

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