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 \(\begin{bmatrix}a_{11} \\ a_{12} \\ .\\ .\\ . \\ a_{1n}\end{bmatrix}\)

Also Read : Different Types of Matrices – Definitions and Examples

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 \(5 \times 1\).

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