Problem

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

Answer

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Answer

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

Steps

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.

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