The system of linear equations $\lambda $x + 2y + 2z = 5 2$\lambda $x + 3y + 5z = 8 4x + $\lambda $y + 6z = 10 has

Question

The system of linear equations
$\lambda $x + 2y + 2z = 5
2$\lambda $x + 3y + 5z = 8
4x + $\lambda $y + 6z = 10 has

a unique solution when $\lambda $ = –8

no solution when $\lambda $ = 2

infinitely many solutions when $\lambda $ = 2

no solution when $\lambda $ = 8

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