For the following matrix, do a valid row operation to get a 1 in row 1 , column 1 :
\[
\left[\begin{array}{rrr}
4 & -15 & -89 \\
11 & -41 & -243
\end{array}\right]
\]
Answer
\(\boxed{\text{Final Answer: The matrix after the row operation is }} \boxed{\left[\begin{array}{rrr} 1 & -3 & -22 \ 11 & -41 & -243 \end{array}\right]}\)
Step 1 ：Given the matrix \[\left[\begin{array}{rrr} 4 & -15 & -89 \ 11 & -41 & -243 \end{array}\right]\]
Step 2 ：We need to perform a valid row operation to get a 1 in row 1, column 1. This can be achieved by dividing the first row by 4.
Step 3 ：After performing the row operation, the matrix becomes \[\left[\begin{array}{rrr} 1 & -3 & -22 \ 11 & -41 & -243 \end{array}\right]\]
Step 4 ：\(\boxed{\text{Final Answer: The matrix after the row operation is }} \boxed{\left[\begin{array}{rrr} 1 & -3 & -22 \ 11 & -41 & -243 \end{array}\right]}\)
