Consider the system of linear equations: x + y + z = 5, x + 2y + λ² z = 9, x + 3y + λ z = μ, where λ, μ ∈ ℝ. T…

Question

Consider the system of linear equations:
$$x + y + z = 5,\quad x + 2y + \lambda^2 z = 9,\quad x + 3y + \lambda z = \mu,$$
where $$\lambda, \mu \in \mathbb{R}$$. Then, which of the following statements is **NOT** correct?

Accepted Answer

D. System has unique solution if $$\lambda = 1$$ and $$\mu 
e 13$$

Answer

A. System has infinite number of solutions if $$\lambda = 1$$ and $$\mu = 13$$

Answer

B. System is inconsistent if $$\lambda = 1$$ and $$\mu 
e 13$$

Answer

C. System is consistent if $$\lambda 
e 1$$ and $$\mu = 13$$

Answer & step-by-step solution

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