Investigate for what values of `lambda, mu` the simultaneous equations `x + y + z = 6, x + 2 y + 3 z = 10 & x + 2 y + lambda z = mu` have,
An infinite number of solutions.

Explanation

To determine the values of \( \lambda \) and \( \mu \) for which the given system of equations has an infinite number of solutions, we need to analyze the equations:

1. \( x + y + z = 6 \) (Equation 1)
2. \( x + 2y + 3z = 10 \) (Equation 2)
3. \( x + 2y + \lambda z = \mu \) (Equation 3)

### Step 1: Form the Coefficient Matrix

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