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If the system of equations $3 x - 2 y + z = 0, λ x - 14 y + 15 z = 0, x + 2 y + 3 z = 0$ has non-trivial solution , then $λ$ =

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Correct option is D

Given system of equations has nontrivial solution⇒3−21λ−1415123=0⇒3(−42−30)+2(3λ−15)+1(2λ+14)=0⇒−216+6λ−30+2λ+14=0⇒8λ=232⇒λ=29

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If the system of equations 3x−2y+z=0,λx−14y+15z=0,x+2y+3z=0 has non-trivial solution , then λ =

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If the system of equations $3 x - 2 y + z = 0, λ x - 14 y + 15 z = 0, x + 2 y + 3 z = 0$ has non-trivial solution , then $λ$ =