Example of a Matrix Which is Both Row and Column Matrix
Question:
Give an example of a row matrix which is also a column matrix.
Concept Used
– A row matrix has only one row → order \( 1 \times n \)
– A column matrix has only one column → order \( m \times 1 \)
To be both, the matrix must have:
\[ 1 \text{ row and } 1 \text{ column } \Rightarrow 1 \times 1 \]
Example
\[ A = \begin{bmatrix} 5 \end{bmatrix} \]
Explanation
– It has 1 row → so it is a row matrix
– It has 1 column → so it is a column matrix
Final Answer
\[ \begin{bmatrix} a \end{bmatrix} \]