Determine whether the matrix is in row-echelon form.If it is, determine if it is also in reduced row-echelon form. $$\left[ \begin{array} { r r r r }
1 & 9 & - 9 & - 6 \
0 & 1 & 0 & - 2 \
0 & 0 & 1 & 1
\end{array} \right]$$
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. $$\left[ \begin{array} { r r r r } 
1 & 9 & - 9 & - 6 \
0 & 1 & 0 & - 2 \
0 & 0 & 1 & 1
\end{array} \right]$$
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, and all entries below these leading 1s are zeros. However, it is not in reduced row-echelon form because the entries above the leading 1s are not all zeros.

Determine Whether the Matrix Is in Row-Echelon Form [19−9−6010−20011]\left[ \begin{array} { r r r r } 1 & 9 & - 9 & - 6 \\0 & 1 & 0 & - 2 \\0 & 0 & 1 & 1\end{array} \right]​100​910​−901​−6−21​​

Determine Whether the Matrix Is in Row-Echelon Form $\left[ \begin{array} { r r r r } 1 & 9 & - 9 & - 6 \\0 & 1 & 0 & - 2 \\0 & 0 & 1 & 1\end{array} \right]$