For what values of `aa n db ,` the system of equations `2x+a y+6z=8` `x+2y+b z=5` `x+y+3z=4` has: (i) a unique solution (ii) infinitely many solutions no solution

Explanation

To solve the given system of equations for the values of \( a \) and \( b \) that yield unique solutions, infinitely many solutions, or no solutions, we can follow these steps:

### Step 1: Write the system of equations in matrix form
The given equations are:
1. \( 2x + ay + 6z = 8 \)
2. \( x + 2y + bz = 5 \)
3. \( x + y + 3z = 4 \)

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