4.1 Matrices

4.1 Matrices
 
A matrix is a rectangular array of numbers enclosed in large brackets.
For example ( 2 0 3 1 ) is a matrix .
  
(A)   Rows, Columns and Order of Matrices
1. A matrix which has m rows and columns is known as a matrix of order m × n.
 

2. A row matrix is a matrix which has only one row.
Example:
( 4 ) ,    ( 2    6 ) ,    ( 3 8 5 )   1 × 1     1 × 2 1 × 3     Only 1 row  
 
3. A column matrix is a matrix which has only one column.
Example:
( 3 ) ,     ( 2 6 ) ,   ( 5 7 9 )   1 × 1    2 × 1 3 × 1          Only 1 column  
4. A square matrix is a matrix which has equal number of rows and columns.

Example:
( 3 ) ,   ( 7 0 2 5 ) ,     ( 1 3 9 0 6 4 1 3 5 )   1 × 1    2 × 2  3 × 3         Number of rows = Number of columns

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