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Linear Algebra : Determinants seeking intuitive understanding of why \(a_i A_j + b_i B_j + c_i C_j = 0\) when \(i \neq j\) \(\begin{bmatrix} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3 \\ \end{bmatrix}\)
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\(A_j ... \) are cofactors of \(j^{th}\) row/column
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