Consider the system of linear equations \(x+y+z=4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15\), where \…

The system has unique solution if \(\lambda \neq \frac{1}{2}\) and \(\mu \neq 1,15\)

The system is inconsistent if \(\lambda=\frac{1}{2}\) and \(\mu \neq 1\)

The system is consistent if \(\lambda \neq \frac{1}{2}\)

The system has infinite number of solutions if \(\lambda=\frac{1}{2}\) and \(\mu=15\)