If Δ=a1 b1 c1a2 b2 c2a3 b3 c3 then A1A2A3B1B2B3C1C2C3= (A1,A2,A3…… are cofactors of a1,a2,a3…..)

A1A2A3B1B2B3C1C2C3=∣( co factor )T∣=|Adj⁡A|=|A|n−1=Δ2

If Δ=a1 b1 c1a2 b2 c2a3 b3 c3 then A1A2A3B1B2B3C1C2C3= (A1,A2,A3…… are cofactors of a1,a2,a3…..)

A1A2A3B1B2B3C1C2C3=∣( co factor )T∣=|Adj⁡A|=|A|n−1=Δ2

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If $Δ = |\begin{array}{lll} a_{1} b_{1} c_{1} \\ a_{2} b_{2} c_{2} \\ a_{3} b_{3} c_{3} \end{array}| then |\begin{array}{ccc} A_{1} & A_{2} & A_{3} \\ B_{1} & B_{2} & B_{3} \\ C_{1} & C_{2} & C_{3} \end{array}| =$ (A₁,A₂,A₃…… are cofactors of a₁,a₂,a₃…..)

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2 $∆$

$∆$

$∆$ ²/2

answer is C.

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$\begin{array}{l} |\begin{array}{lll} A_{1} & A_{2} & A_{3} \\ B_{1} & B_{2} & B_{3} \\ C_{1} & C_{2} & C_{3} \end{array}| =∣ (co factor)^{T} ∣ \\ = | Adj A | = | A |^{n - 1} = Δ^{2} \end{array}$

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If Δ=a1 b1 c1a2 b2 c2a3 b3 c3 then A1A2A3B1B2B3C1C2C3= (A1,A2,A3…… are cofactors of a1,a2,a3…..)

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If $Δ = |\begin{array}{lll} a_{1} b_{1} c_{1} \\ a_{2} b_{2} c_{2} \\ a_{3} b_{3} c_{3} \end{array}| then |\begin{array}{ccc} A_{1} & A_{2} & A_{3} \\ B_{1} & B_{2} & B_{3} \\ C_{1} & C_{2} & C_{3} \end{array}| =$ (A₁,A₂,A₃…… are cofactors of a₁,a₂,a₃…..)