Question

Let $A=[4]$ be a matrix of order $|x|$. Consider the following statements
I. The matrix $A$ is a square matrix.
II. The matrix $A$ is both row and column matrix.
Choose the correct option.

• A. Only I is true
• B. Only II is true
• C. Both I and II are true
• D. Neither I nor II is true

Answer 1

Answer: (C)

The given matrix is $A=[4]$.
Since, its order is $1 \times 1$.
$\Rightarrow$ Number of rows is equal to the number of columns.
$\Rightarrow$ Matrix $A$ is a square matrix.
Also, since matrix $A$ has only 1 row and 1 column.
$\therefore$ This is a both row and column matrix.