Use the specified row transformation to change the matrix.
-2 times row 1 added to row 2

Step 1 ：The problem is asking to perform a row operation on a matrix. The operation is to multiply the first row by -2 and then add it to the second row. This operation will only change the second row of the matrix. The first row and any other rows (if they exist) will remain the same.

Step 2 ：The row operation is performed on the matrix. The second row of the matrix is now \([2, 1, 0]\), which is the result of multiplying the first row by -2 and adding it to the second row. The first row remains unchanged.

Step 3 ：Final Answer: The matrix after the row operation is \(\boxed{\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 0 \end{bmatrix}}\)