Write the matrix in reduced row-echelon form. $$\left[ \begin{array} { r r r r }
9 & - 6 & - 3 & - 33 \
8 & - 1 & 1 & - 47 \
- 7 & - 7 & 6 & - 8
\end{array} \right]$$
A) $$\left[ \begin{array} { l l l l }
1 & 0 & 0 & 0 \
0 & 1 & 0 & 0 \
0 & 0 & 1 & 0
\end{array} \right]$$
B) $$\left[ \begin{array} { l l l r }
1 & 0 & 0 & - 5 \
0 & 1 & 0 & - 6 \
0 & 0 & 1 & 1
\end{array} \right]$$
C) $$\left[ \begin{array} { r r r r }
1 & 0 & 0 & - 6 \
0 & 1 & 0 & 2 \
0 & 0 & 1 & - 6
\end{array} \right]$$
D) $$\left[ \begin{array} { r r r r }
1 & 0 & 0 & - 5 \
0 & 1 & 0 & 1 \
0 & 0 & 1 & - 6
\end{array} \right]$$
E) $$\left[ \begin{array} { l l l l }
1 & 0 & 0 & 1 \
0 & 1 & 0 & 1 \
0 & 0 & 1 & 1
\end{array} \right]$$

Question

Write the matrix in reduced row-echelon form. $$\left[ \begin{array} { r r r r } 
9 & - 6 & - 3 & - 33 \
8 & - 1 & 1 & - 47 \
- 7 & - 7 & 6 & - 8
\end{array} \right]$$
A) $$\left[ \begin{array} { l l l l } 
1 & 0 & 0 & 0 \
0 & 1 & 0 & 0 \
0 & 0 & 1 & 0
\end{array} \right]$$ ​
B) $$\left[ \begin{array} { l l l r } 
1 & 0 & 0 & - 5 \
0 & 1 & 0 & - 6 \
0 & 0 & 1 & 1
\end{array} \right]$$ ​
C) $$\left[ \begin{array} { r r r r } 
1 & 0 & 0 & - 6 \
0 & 1 & 0 & 2 \
0 & 0 & 1 & - 6
\end{array} \right]$$ ​
D) $$\left[ \begin{array} { r r r r } 
1 & 0 & 0 & - 5 \
0 & 1 & 0 & 1 \
0 & 0 & 1 & - 6
\end{array} \right]$$ ​
E) $$\left[ \begin{array} { l l l l } 
1 & 0 & 0 & 1 \
0 & 1 & 0 & 1 \
0 & 0 & 1 & 1
\end{array} \right]$$

Quizplus · Accepted Answer

The matrix is in reduced row-echelon form when the leading entry in each row is 1, the leading entries are in different columns, and all other entries in the columns containing leading entries are 0.

Write the Matrix in Reduced Row-Echelon Form [9−6−3−338−11−47−7−76−8]\left[ \begin{array} { r r r r } 9 & - 6 & - 3 & - 33 \\8 & - 1 & 1 & - 47 \\- 7 & - 7 & 6 & - 8\end{array} \right]​98−7​−6−1−7​−316​−33−47−8​​

Write the Matrix in Reduced Row-Echelon Form $\left[ \begin{array} { r r r r } 9 & - 6 & - 3 & - 33 \\8 & - 1 & 1 & - 47 \\- 7 & - 7 & 6 & - 8\end{array} \right]$