This document defines and provides examples of different types of matrices: - Matrices are arrangements of elements in rows and columns represented by symbols. - Types include row matrices, column matrices, square matrices, null matrices, identity matrices, diagonal matrices, scalar matrices, triangular matrices, transpose matrices, symmetric matrices, skew matrices, equal matrices, and algebraic matrices. - Algebraic matrix operations include addition, subtraction, and multiplication where the matrices must be of the same order.

1. PRESENTED BY:
Nikhi jain
Salini bhadoria
Gunjan dwivedi
Shilpi barua
Ritu Tomar

2.  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. -
3*3

3. 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. –

4. 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’

5. 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. -

6. 7. Scalar matrices – A diagonal matrices in which all the
elements of main diagonal is same called scalar
matrices e.g.-
3*3
8. Triangular matrices – there are two types: -
Upper triangular – All the below elements are ‘0’
Lower triangular – All the above elements are ‘0’

7. 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.:-
A AT
10. Symmetric Matrices - A square matrices A is called
symmetric matrices if it is equal to its transpose e.g.-

8. 11. Skew Matrices - if A’ = -A is called skew matrices
e.g.-
2*2
12. Equal Matrices – If two matrices order and there
corresponding element is same is called equal
matrices
If X

9. 13. Algebraic Matrices – There are three type:-
i. Addition method - for addition of two matrices the
order must be same e.g.:-
A
+

10. ii.Subtraction method –For subtraction of two matrices
the order must be same.
Example:-
A
A-B

11. Multiplication of method –
iii.
Example:-