Use the specified row transformation to change the matrix. -2 times row 1 added to row 2 \[ \left[\begin{array}{ll} 3 & 2 \\ 6 & 7 \end{array}\right] \]

Step 1 ：The given matrix is \[\left[\begin{array}{ll} 3 & 2 \\ 6 & 7 \end{array}\right]\]

Step 2 ：We are asked to perform the row operation -2 times row 1 added to row 2. This operation will only change the second row of the matrix. The first row will remain the same.

Step 3 ：After performing the operation, the matrix becomes \[\left[\begin{array}{ll} 3 & 2 \\ 0 & 3 \end{array}\right]\]

Step 4 ：\(\boxed{\left[\begin{array}{ll} 3 & 2 \\ 0 & 3 \end{array}\right]}\) is the final answer.