A matrix of order `3xx3` has determinant 2. What is the value of `|A(3I)|` , where `I` is the identity matrix of order `3xx3` .

Explanation

To find the value of \(|A(3I)|\), where \(A\) is a \(3 \times 3\) matrix with determinant \(2\) and \(I\) is the identity matrix of order \(3\), we can use the properties of determinants.

### Step-by-Step Solution:

1. **Understand the Problem**: We need to calculate the determinant of the product of the matrix \(A\) and \(3I\).

2. **Use the Property of Determinants**: The determinant of the product of two matrices is equal to the product of their determinants:
\[
...