# Column Matrix – Definition and Examples

Here you will learn what is column matrix definition and order of column matrix with examples.

Let’s begin –

## Column Matrix

Definition : A matrix having only one column is called a column matrix or a column vector.

It is matrix having all its elements in a single column. It has one column and multiple rows.

The order of column matrix is $$n \times 1$$.

The General form of column matrix is $$\begin{bmatrix}a_{11} \\ a_{12} \\ .\\ .\\ . \\ a_{1n}\end{bmatrix}$$

## Examples :

1). $$\begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$$ is a column matrix.

The order of the above matrix is $$3 \times 1$$.

2). $$\begin{bmatrix} 3 \\ 5 \end{bmatrix}$$ is a column matrix.

The order of above matrix is $$2 \times 1$$.

3). $$\begin{bmatrix} 1 \end{bmatrix}$$is a column matrix.

The order of above matrix is $$1 \times 1$$.

4). $$\begin{bmatrix} 1 \\ 2 \\ -1 \\ 4 \end{bmatrix}$$ is a column matrix.

The order of above matrix is $$4 \times 1$$.

5). $$\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{bmatrix}$$ is a column matrix.

The order of above matrix is $$5 \times 1$$.