Ononot — In the matrix A = \begin{pmatrix} 1 & 3 & 2 \\ 2 & 1 & 4 \\

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Determinantshard

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In the matrix $A = \begin{pmatrix} 1 & 3 & 2 \\ 2 & 1 & 4 \\ 3 & 5 & 1 \end{pmatrix}$ , column 3 is replaced by $C_3 - 2C_1$ to obtain matrix $A'$ . What is the relationship between $\det(A)$ and $\det(A')$ ?