For which value(s) of λ, do the pair of linear equations λ x+y=λ^2 and x+λ y=1 have (i) no soluti...

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For which value(s) of λ, do the pair of linear equations
λ x+y=λ^2 and x+λ y=1 have
(i) no solution?
(ii) infinitely many solutions?
(iii) a unique solution?

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