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Question

The equations λxy=2,2x3y=λ,3x2y=1 are consistent for

A
λ=4
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B
λ=1,4
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C
λ=1
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D
λ=1,4
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Solution

The correct option is B λ=1,4
∣ ∣λ1223λ321∣ ∣=0
λ(3+2λ)+1(23λ)2(4+9)=02λ26λ8=0λ23λ4=0(λ4)(λ+1)=0λ=1,4

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