Fill in the blank(s)using elementary row operations to form a row-equivalent matrix. $$\left[ \begin{array} { c c c c }
1 & 6 & 5 & - 1 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$ $$\left[ \begin{array} { c c c c }
1 & 6 & \cdots & \cdots \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
A) $$\left[ \begin{array} { c c c c }
1 & 0 & - 1 & - 13 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
B) $$\left[ \begin{array} { c c c c }
1 & 6 & - 17 & - 13 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
C) $$\left[ \begin{array} { c c c c }
1 & 6 & 17 & - 7 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
D) $$\left[ \begin{array} { c c c c }
1 & 6 & 17 & - 13 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
E) $$\left[ \begin{array} { c c c c }
1 & 0 & - 1 & - 7 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$

Question

Fill in the blank(s)using elementary row operations to form a row-equivalent matrix.​ $$\left[ \begin{array} { c c c c } 
1 & 6 & 5 & - 1 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$ ​​ $$\left[ \begin{array} { c c c c } 
1 & 6 & \cdots & \cdots \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$ ​
A)​ $$\left[ \begin{array} { c c c c } 
1 & 0 & - 1 & - 13 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
B)​ $$\left[ \begin{array} { c c c c } 
1 & 6 & - 17 & - 13 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
C)​ $$\left[ \begin{array} { c c c c } 
1 & 6 & 17 & - 7 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
D) $$\left[ \begin{array} { c c c c } 
1 & 6 & 17 & - 13 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$
E)​ $$\left[ \begin{array} { c c c c } 
1 & 0 & - 1 & - 7 \
0 & 1 & - 2 & 2 \
0 & 0 & 1 & 6
\end{array} \right]$$

Quizplus · Accepted Answer

To form a row-equivalent matrix, perform the operation R1 - 6*R2 + 17*R3 on the first row, resulting in the matrix in option D.

Fill in the Blank(s)using Elementary Row Operations to Form a Row-Equivalent