Solve the following system of equations, using matrix method. `x+2y+z=7,x+3z=11 ,2x-3y=1`

Explanation

To solve the system of equations using the matrix method, we have the following equations:

1. \( x + 2y + z = 7 \)
2. \( x + 3z = 11 \)
3. \( 2x - 3y = 1 \)

### Step 1: Write the equations in standard form
We can express the second and third equations in a standard form by including coefficients for \(y\) and \(z\):
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