solve the system of equations `x+y+z=6,x+2y+3z=14` and` x+4y+7z=30` with the help of matrix method.

Explanation

To solve the system of equations using the matrix method, we will follow these steps:

1. **Write the equations in matrix form**: We start with the given equations:
\[
\begin{align*}
x + y + z &= 6 \quad \text{(1)} \\
x + 2y + 3z &= 14 \quad \text{(2)} \\
x + 4y + 7z &= 30 \quad \text{(3)}
...