Let’s learn the different types of matrices

## Column matrices

A column matrix only has 1 column

**
Example
**

Example

So, column matrix is of the order m × 1

We write it as

A = [a
_{
ij
}
]
_{
m × 1
}

##
**
Row matrices
**

A row matrix only has 1 row

**
Example
**

So, row matrix is of the order 1 × n

We write it as

A = [a
_{
ij
}
]
_{
1 × n
}

##
**
Square matrix
**

A square matrix has equal number of rows & columns

**
Example
**

**
**

**
**

So, a square matrix is of the order m × m

We write it as

A = [a
_{
ij
}
]
_{
m × m
}

##
**
Diagonal matrix
**

In A diagonal matrix, the non-diagonal of element are zero.

A diagonal matrix is possible only in a
**
square matrix
**

**
Example
**

**
**

**
**

So, in a diagonal matrix

- It is should be a square matrix
- Non-diagonal elements are 0

##
**
Scalar matrix
**

A scalar matrix is a
**
diagonal matrix
**
where diagonal elements are equal

**
Example
**

**
**

**
**

So, in a scalar matrix

- It is a square matrix
- Non diagonal elements are 0
- Diagonal elements are equal

##
**
Identity matrix
**

An identity matrix is a diagonal matrix where all diagonal elements are 1

So, in a Identity matrix

- It is a square matrix
- Non diagonal elements are 0
- All diagonal elements are 1

Note :An identity matrix isascalar matrix