Therefore
11
1 |1 3 1|
1
2
a
=
− ×
=
12
1
5
2|1 3 2|
2
a
=
− ×
=
21
1
1
| 2
3 1|
2
2
a
=
− ×
=
22
1 | 2
3 2|
2
2
a
=
− ×
=
31
1 |3
3 1|
0
2
a
=
− ×
=
32
1
3
|3
3 2 |
2
2
a
=
− ×
=
Hence the required matrix is given by 
5
1
2
1
A
2
2
3
0
2






= 






 Rationalised 2023-24
MATRICES         39
3 3  Types of Matrices
 In this section, we shall discuss different types of matrices (i)
Column matrix
A matrix is said to be a column matrix if it has only one column