Definition.If m,n are nonzero natural numbers. It is called 2 dimensional array with m lines and n columns (2 dimensional array of (m,n) type with complex number elements, a function f:{1,2,...,m}x{1,2,...,n}->C
The values of the function f are called elements of the 2 dimensional array A and are represented in the form of a table
Particular cases of 2 dimensional arrays:
1. If m=1, 2d array A is called liniar 2d array
2.IF n=1, 2d array A is called columnar 2d array
3. If m=n, 2d array A is called a square 2d array of order n. In case of square 2d array ,it is called the main diagonal of 2d array A the ordered lot:
Also for square 2d array, it is called secondary diagonal of 2d array A the ordered lot:
The sum of the elements on the main diagonal of the 2d array A is called the trace of the 2d array A and it is noted Tr(A).
4. If all the elements of a 2d array are equal to zero, the 2d array is called a null 2d array and is noted:
Definition.Two 2d arrays A and B are called equal 2d arrays,if:
Properties of the equality relation of 2d arrays :
1. Property of reflexivity
2. Property of symmetry
3. Property of transitivity
