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Question

For the set of linear equations γx3y+z=0 , x+γy+3z=1 , 3x+y+5z=2 the value of γ for which Ihe equations does not have a unique solution.

A
1,115
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B
1,115
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C
115,1
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D
1,115
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Solution

The correct option is A 1,115
As system have no unique solution.
system either have no solution or infinite solution .
|A|=0 for both cases.

∣ ∣γ311γ3315∣ ∣=0
5γ26γ11=0
(5γ11)(γ+1)=0
γ=115,γ=1

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