Possible Orders of a Matrix with 5 Elements

Step 1: Use Formula

\[ \text{Number of elements} = \text{rows} \times \text{columns} \]

\[ m \times n = 5 \]

Step 2: Factorize 5

\[ 5 = 1 \times 5 = 5 \times 1 \]

Step 3: Possible Orders

\[ 1 \times 5,\quad 5 \times 1 \]

Final Answer:

\[ \boxed{1 \times 5 \text{ and } 5 \times 1} \]