Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. $$\left[ \begin{array} { c c c c }
1 & - 9 & 5 & 2 \
0 & 1 & 0 & - 9 \
0 & 0 & 1 & - 5
\end{array} \right]$$
A)row-echelon form
B)row-echelon form and reduced row-echelon form
C)neither

Question

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. $$\left[ \begin{array} { c c c c } 
1 & - 9 & 5 & 2 \
0 & 1 & 0 & - 9 \
0 & 0 & 1 & - 5
\end{array} \right]$$
A)row-echelon form
B)row-echelon form and reduced row-echelon form
C)neither

Quizplus · Accepted Answer

The matrix is in row-echelon form because each row starts with a leading 1 that is to the right of the leading 1 in the row above it, and all entries below each leading 1 are zeros. It is not in reduced row-echelon form because the entries above each leading 1 are not all zeros.

Determine Whether the Matrix Is in Row-Echelon Form [1−952010−9001−5]\left[ \begin{array} { c c c c } 1 & - 9 & 5 & 2 \\0 & 1 & 0 & - 9 \\0 & 0 & 1 & - 5\end{array} \right]​100​−910​501​2−9−5​​

Determine Whether the Matrix Is in Row-Echelon Form $\left[ \begin{array} { c c c c } 1 & - 9 & 5 & 2 \\0 & 1 & 0 & - 9 \\0 & 0 & 1 & - 5\end{array} \right]$