Prove that the value of each the following determinants is zero: $∣ ∣ a_{1} a_{2} a_{3} l a_{1} + m b_{1} l a_{2} + m b_{2} l a_{3} + m b_{3} b_{1} b_{2} b_{3} ∣ ∣$

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Prove that the value of each the following determinants is zero:

∣ ∣ a_{1} a_{2} a_{3} l a_{1} + m b_{1} l a_{2} + m b_{2} l a_{3} + m b_{3} b_{1} b_{2} b_{3} ∣ ∣

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Question Text

Prove that the value of each the following determinants is zero:

∣ ∣ a_{1} a_{2} a_{3} l a_{1} + m b_{1} l a_{2} + m b_{2} l a_{3} + m b_{3} b_{1} b_{2} b_{3} ∣ ∣

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