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 n 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