EMLA Q.49
0. The value of λ for which the equations
2x + y + 2z = 0
x + y + 3z = 0
4x + y + λz = 0
have non-zero solution, is
- Option : D
- Explanation : Equivalent matrix equation is
In order that the given system of equations may have non-zero solution, the rank of A should be less than 3.
This requires that
Interchanging R1 and R2
By (R2 - 2R1) and (R3 - 4R1),
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