The system of equations x + y + z = 5 , x + 2 y + 3 z = 9 and x + 3 y + λ z = μ has unique solution if

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The system of equations $x+y+z=5, x+2 y+3 z=9$ and $x+3 y+\lambda z=\mu$ has unique solution if

MathematicsDeterminantsAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)

Options:

A $\lambda=5, \mu=10$
B $\lambda=5, \mu \neq 10$
C $\lambda \in \mathbb{R}, \mu \neq 5$
D $\lambda \neq 5, \mu \in \mathbb{R}$

Solution:

2642 Upvotes Verified Answer

The correct answer is: $\lambda \neq 5, \mu \in \mathbb{R}$

No solution. Refer to answer key.

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