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

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Consider the matrix $A = \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 5 \\ 1 & 2 & 4 \end{pmatrix}$ . After applying row operations $R_2 \to R_2 - 2R_1$ , $R_3 \to R_3 - R_1$ , and $R_3 \to R_3 + R_2$ , row 3 becomes all zeros. What does this tell us about $\det(A)$ ?