Consider the system of linear equations x + y + z = 4μ, x + 2y + 2λ z = 10μ, x + 3y + 4λ² z = μ² + 15, where λ…

Question

Consider the system of linear equations $$x + y + z = 4\mu$$, $$x + 2y + 2\lambda z = 10\mu$$, $$x + 3y + 4\lambda^2 z = \mu^2 + 15$$, where $$\lambda, \mu \in \mathbb{R}$$. Which one of the following statements is NOT correct?

Accepted Answer

B. The system is inconsistent if $$\lambda = \frac{1}{2}$$ and $$\mu 
e 1$$

Answer

A. The system has a unique solution if $$\lambda 
e \frac{1}{2}$$ and $$\mu 
e 1, 15$$

Answer

C. The system has an infinite number of solutions if $$\lambda = \frac{1}{2}$$ and $$\mu = 15$$

Answer

D. The system is consistent if $$\lambda 
e \frac{1}{2}$$

Answer & step-by-step solution

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