NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1 Matrices in Hindi Medium as well as English Medium for UP Board (Intermediate students) and CBSE Board based on latest CBSE Syllabus 2018-19. Download (Exercise 3.1) here PDF form to use it offline. For the online use contents are given below.

## NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1

### Class 12 Maths Chapter 3 Exercise 3.1 Solutions in English

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1 Matrices solutions in English Medium. You can download these solutions form the link given at the top of the page. Get here all the exercises of Class 12 Mathematics Chapter 3, If you need Solutions in Hindi, CLICK HERE for Hindi Medium Solutions.

### Class 12 Maths Chapter 3 Exercise 3.1 Solutions in Hindi

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1 Matrices solutions in Hindi Medium. These solutions are prepared for the students of CBSE as well as UP Board students following NCERT Books from 2018-19 onward. Get here all the exercises of Class 12 Mathematics Chapter 3, Go back to English Medium Solutions.

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#### Important Terms About Matrices:

- All main diagonal elements of a skew-symmetric matrix are zero.
- Every square matrix can be uniquely expressed as the sum of a symmetric and a skew symmetric matrix.
- All positive integral power of a symmetric are symmetric.
- All odd positive integral power of a skew symmetric matrix are skew symmetric.

##### Properties of Matrix addition:

*Commutativity*: If A and B are two matrices of same order, then A + B = B + A.*Associativity*: If A, B, C are three matrices of same order, then (A + B) + C = A + (B + C).*Existence of Identity*: The null matrix is the identity element for matrix addition. A + O = O + A = A.*Existence of inverse*: For every matrix A = [aij, there exists a matrix – A= [-aij] such that A + (-A) = O = (-A) + A.*Cancellation laws*: If A, B, C are three matrices of the same order, then A + B = A + C implies that B = C and B + A = C + A implies that B = C.