Let A be a 3x3 invertible matrix. The reduced row-echelon form of A is obtained by performing the following three elementary row operations in order: (1) First multiply row 1 by 1. (ii) Then add 3 times row 3 to row 2. (iii) Then finally interchange rows 3 and 2. Then what is det(A)? det(A) = 0

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