Step 1:There are two matrices with 5 elements of order $1\times 5,5\times 1$.Hence two types of matrices exists.

(i) Column matrix

(ii) Row matrix

Step 2:Column matrix $\rightarrow$A matrix is said to be column matrix ,if it has only one column.

Order$\Rightarrow m\times 1\Rightarrow 5\times1$

Step 3:Row matrix $\rightarrow $ A matrix is said to be row matrix ,if it has only one row.

Order$\Rightarrow 1\times n\Rightarrow 1\times5$