This document defines and describes various types of matrices. It defines a matrix as a rectangular array of numbers or functions with m rows and n columns referred to as an m x n matrix. It then lists and defines the following types of matrices: row matrix, column matrix, null matrix, rectangular matrix, square matrix, diagonal matrix, scalar matrix, unit matrix, symmetric matrix, and skew-symmetric matrix. It provides examples of each type of matrix and their general syntax.

1. CLASS: 10
Prsentation by:
Manjunatha.P.N.
B.Ed. I sem ( I Year )
Indira college of education, Tumkur
CHAPTER :MATRICES

2. DEFINE A
MATRIX
A matrix is an ordered
rectangular array of
numbers or functions.

3. DEFINE A ORDER OF THE
MATRIX
A matrix having m rows and n
columns is called a marix of
order m x n.

4. MATRICES
1. ROW MATRIX
2. COLUMN MATRIX
3. NULL MATRIX
4. RECTANGULAR MATRIX
5. SQUARE MATRIX
* DIAGONAL MATRIX
* SCALAR MATRIX
* UNIT MATRIX
* SYMMETRIC MATRIX
* SKEW SYMMETRIC MATRIX
MATRICESMATRICESTYPES OF

5. 1 0 9
6

6. ROW
MATRIX
A Matrix having only
one Row is called a
Row matrix

7. 9
4
7
5

8. COLUMN MATRIX
A Matrix having only one
Column is called a Column
matrix

9. 0 0
0
0 0

10. NULL MATRIX
A Matrix in which all
its elements are zero is
called Null Matrix or
zero matrix

11. 1 2 3
4
5 6 7 8

12. RECTANGULAR
MATRIX
A Matrix in which the
number of rows are not
equal to the number of
columns is called a
rectangular matrix.

13. 1 0
9
2 7 9
3 6 9

14. SQUARE MATRIX
A Matrix in which the
number of rows are equal
to the number of columns
is called a rectangular
matrix.

15. DIAGONAL
MATRIX
1 0 0
0 2 0
0 0 3

16. DIAGONAL MATRIX
A Square Matrix in which
all the elements except the
diagonal elements are zero
is called a diagonal matrix.

17. SCALAR MATRIX
2 0 0
0 2 0
0 0 2

18. SCALAR MATRIX
A Square Matrix in which
all the elements except the
diagonal elements are
equal is called a scalar
matrix.

19. IDENTITY MATRIX
1 0 0
0 1 0
0 0 1

20. IDENTITY MATRIX
A Square Matrix in which
all the elements except the
diagonal elements are
unity is called a unit
matrix.

21. SYMMETRIC
MATRIX
5 3 6
3 9 2
6 2 4

22. SYMMETRIC MATRIX
A Square Matrix is
said to be symmetric iff
AT
= A.

23. SYMMETRIC
MATRIX
5 3 6
3 9
2
6 2
4
A = AT
=
5
3
6
3
9
2
6
2
4
A=A
T

24. SKEW SYMMETRIC
MATRIX
0 -3 6
3 0 -2
-6 2 0

25. SKEW SYMMETRIC
MATRIX
A Square Matrix is said
to be Skew symmetric iff
AT
= -A.

26. MATRIX
with their Address
specification
a11 a12 a13
a21 a22 a23
a31 a32 a33

27. WRITE THE GENERAL
SYNTAX OF A MATRIX
(Rectangular Array)
a11 a12 a13 … a1j …a1n
a21 a22 a23 … a2j …a2n
. . . … . … .
. . . … . … .
. . . … . … .
am1 am2 am3 … amj …amn