Use matrix method to show that the following system of equation is inconsistent
3x-y+2z=3
2x+y+3z=5
x-2y-z=1

Explanation

To determine if the given system of equations is inconsistent using the matrix method, we will follow these steps:

### Given System of Equations:
1. \( 3x - y + 2z = 3 \) (Equation 1)
2. \( 2x + y + 3z = 5 \) (Equation 2)
3. \( x - 2y - z = 1 \) (Equation 3)

### Step 1: Formulate the Coefficient Matrix and the Constant Matrix
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