PRESENTED BY:

Nikhi jain

Salini bhadoria

Gunjan dwivedi

Shilpi barua

Ritu Tomar

Matrices And It's Types

It is an collection of elements which is arranges in rows columns.

It is the Combination of linear equation. It is Represented by these symbols: , ,

e.g. -

Matrices

3*3

Types of Matrices

1. Row matrices – A matrices which has only one row called row matrices e.g.-

[123]1*3

2. Column matrices – A matrices which has only one column is called column matrices e.g. –

3. Square matrices – No. of the rows and No. of the column is same e.g.

4. Null matrices – Which all elements is equal to ‘0’

Contd….

5. Identity matrices – A square matrices who’s main diagonal is assinty value ‘1’ and each of the other element is ‘0’ e.g. -

6. Diagonal matrices – A square matrices all of who’s element expect those in the leading diagonal are ‘0’ e.g. -

Contd….

,

7. Scalar matrices – A diagonal matrices in which all the elements of main diagonal is same called scalar matrices e.g.-

8. Triangular matrices – there are two types: - Upper triangular – All the below elements

are ‘0’

Lower triangular – All the above elements are ‘0’

Contd….

3*3

9. Transpose Matrices – A matrices obtained by inter changing the rows and columns of a matrices A

It is denoted by A’ , AT e.g.:-

10. Symmetric Matrices - A square matrices A is called symmetric matrices if it is equal to its transpose e.g.-

Contd….

A AT

11. Skew Matrices - if A’ = -A is called skew matrices e.g.-

12. Equal Matrices – If two matrices order and there corresponding element is same is called equal matrices

Contd….

2*2

If X

13. Algebraic Matrices – There are three type:-i. Addition method - for addition of two

matrices the order must be same e.g.:-

Contd….

A

+

ii. Subtraction method –For subtraction of two matrices the order must be same.

Example:-

Contd….

A

A-B

iii. Multiplication of method – Example:-

Contd….

THANK YOU