Letβs learn the different types of matrices

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## Column matrices

A column matrix only has 1 column

**
Example
**
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Example

So, column matrix is of the order m Γ 1

We write it as

Β A = [a
_{
ij
}
]
_{
m Γ 1
}

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##
**
Row matrices
**

A row matrix only has 1 row

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**
Example
**

So, row matrix is of the order 1 Γ n

We write it as

Β A = [a
_{
ij
}
]
_{
1 Γ n
}

Β

##
**
Square matrix
**

A square matrix has equal number of rows & columns

Β

**
Example
**

**
**

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

We write it as

Β A = [a
_{
ij
}
]
_{
m Γ m
}

Β

##
**
Diagonal matrix
**

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

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

Β

**
Example
**

**
**

Β

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

Β

**
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

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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

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