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For which value(s) of \(\lambda\), do the pair of linear equations \(\lambda x + y = \lambda^2\) and \(x + \lambda y = 1\) have
(i) no solution?
(ii) infinitely many solutions?
(iii) a unique solution?
Answer:
(i) The pair of equations has no solution when \(\lambda =\)
(ii) The pair of equations has infinitely many solutions when \(\lambda =\)
(iii) The pair of equations has a unique solution when \(\lambda \neq\)
Answer variants:
\(0\)
\(\pm 1\)
\(1\)
\(-1\)
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