The system of linear equations

Question:

The system of linear equations

$\lambda x+2 y+2 z=5$

$2 \lambda x+3 y+5 z=8$

$4 x+\lambda y+6 z=10$ has

  1. infinitely many solutions when $\lambda=2$

  2. a unique solution when $\lambda=-8$

  3. no solution when $\lambda=8$

  4. no solution when $\lambda=2$


Correct Option: , 4

Solution:

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