JEE Main 202430 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Consider the system of linear equations x+y+z=5,x+2y+λ2z=9,x+3y+λz=μx+y+z=5, x+2 y+\lambda^2 z=9, x+3 y+\lambda z=\mux+y+z=5,x+2y+λ2z=9,x+3y+λz=μ, where λ,μ∈R\lambda, \mu \in \mathbb{R}λ,μ∈R. Then, which of the following statement is NOT correct?AOption A. System is consistent if λ≠1\lambda \neq 1λ=1 and μ=13\mu=13μ=13BOption B. System is inconsistent if λ=1\lambda=1λ=1 and μ≠13\mu \neq 13μ=13COption C. System has unique solution if λ≠1\lambda \neq 1λ=1 and μ≠13\mu \neq 13μ=13DOption D. System has infinite number of solutions if λ=1\lambda=1λ=1 and μ=13\mu=13μ=13CheckSkip · show solution
