Starting with matrix $A$, the following sequence of row operations produces matrix $B$:

• $R_2 \leftarrow R_2 - 3R_1$ (adds a multiple of row 1 to row 2)

• $R_3 \leftarrow R_3 + 2R_1$ (adds a multiple of row 1 to row 3)

• $R_1 \leftrightarrow R_3$ (swaps rows 1 and 3)

If the resulting matrix $B$ has $\det(B) = 10$, what is $\det(A)$?