Definition of Matrix
In everyday life a list
often contains numbers arranged in columns and rows, such as food items with
prices and nutrient levels arranged like the following table,
Material

Nutritional
content per kg

Price
Rupiah
per Kg


Protein

Fat

Carbohydrate


Milled Rice

68

7

789

2800

Potato

17

0.85

162.35

3000

Know

78

46

16

2000

Milkfish

160

38.4

0

15000

Chicken eggs

115.2

103.5

6.3

7000

Contoh In the table above
there is a arrangement of real numbers in the form of a rectangle consisting of
5 rows and 4 columns. This number arrangement is called a 5 x 4 matrix, because
each row contains 5 real numbers and each column contains 4 real numbers. The
following will be explained about the notation matrix.
Definition of Matrix: A matrix is a sequence of numbers in a rectangular shape. The numbers in the arrangement are called entries in the matrix.
Size (order) matrix is
expressed by the number of rows multiplied by the number of columns. In
example 1, the matrix size is 3 x 2, 1 x 4, and 1 x 1, respectively.
Matrix Notation
Our matrix names with
uppercase letters, for example: A, B, C, and others. In complete written matrix
A = (a_{ij}) means that a
matrix A consists of entries a_{ij}
where index i states the iline and
index j declares the jcolumn of the entry.
A matrix with n rows and n columns is called the square matrix of order n, and entries a_{11},
a_{22}, ..., a_{nn} are said to be in the main
diagonal of A written:
Similarity of Matrix
The two matrix are said to be the same if the two matrix have the same size and the corresponding entries in the two matrix are the same.
Example 2
Review the matrix
From these matrix it can be seen that
A_{(2x2)}=B_{(2x2)}=
C_{(2x2)}, A_{(2x2)}≠D_{(2x3)}, B_{(2x2)}≠D_{(2x3)},
C_{(2x2)}≠D_{(2x3)}
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