Mathematics

Lecture



Matrices




1

,Matrices
Operations of matrices
Types of matrices
Properties of matrices
Determinants
Inverse of a 33 matrix

2

,Matrices
1 3 1 
2 3 7
A  B  2 1 4
1 1 5 4 7 6
Both A and B are examples of matrix. A matrix
is a rectangular array of numbers enclosed by a
pair of bracket.



3

,  a11 a12 a1n 
In the matrix a
 a22 a2n 
A 21

 
 
am1 am2 amn 

numbers aij are called elements. First subscript
indicates the row; second subscript indicates
the column. The matrix consists of mn elements
It is called “the m  n matrix A = [aij]” or simply
“the matrix A ” if number of rows and columns
are understood.
4