1.Consider the system of equations in matrix form [12λ][xyz]=0\begin{bmatrix} 1 & 2 & \lambda \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = 0[12λ]xyz=0. Then which one of the following statements is true?a.∀λ∈(−∞,∞)\forall \lambda \in (-\infty, \infty)∀λ∈(−∞,∞), the system has non-trivial solutionb.∀λ∈(−∞,∞)\forall \lambda \in (-\infty, \infty)∀λ∈(−∞,∞), the system has only trivial solutionc.For λ≠0\lambda \ne 0λ=0, the system does not have any solutiond.For λ=0\lambda = 0λ=0, the system is inconsistentLogin to continueOnly logged in users canattempt or see the solution.
