The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number. Represent it algebraically and find the numbers using matrix method.

Explanation

To solve the problem, we will first represent the given conditions algebraically and then use the matrix method to find the three numbers.

### Step 1: Represent the conditions algebraically
Let the three numbers be \( A \), \( B \), and \( C \).

1. The sum of the three numbers is 6:
\[
A + B + C = 6 \quad \text{(Equation 1)}
...