If `A` is a matrix of order `3xx3`, then `|3A|` is equal to………

Explanation

To find the value of \(|3A|\) where \(A\) is a matrix of order \(3 \times 3\), we can use the property of determinants related to scalar multiplication of matrices.

### Step-by-step Solution:

1. **Identify the order of the matrix**:
The matrix \(A\) is given to be of order \(3 \times 3\). This means \(n = 3\).

2. **Use the property of determinants**:
The property states that for any \(n \times n\) matrix \(A\) and a scalar \(k\), the determinant of \(kA\) is given by:
\[ |kA| = k^n |A| \]
where \(n\) is the order of the matrix.

3. **Substitute the values**:
Here, \(k = 3\) and \(n = 3\). Therefore, we can substitute these values into the property:
\[ |3A| = 3^3 |A| \]

4. **Calculate \(3^3\)**:
We compute \(3^3\):
\[ 3^3 = 27 \]

5. **Write the final expression**:
Now substituting back into the equation we have:
\[ |3A| = 27 |A| \]

Thus, the final answer is:
\[ |3A| = 27 |A| \]