Determine whether the matrix is in row-echelon form, reduced row-echelon form or neither. $$\left[ \begin{array} { l l l l }
1 & 0 & 1 & 1 \
0 & 1 & 0 & 1 \
1 & 0 & 1 & 1
\end{array} \right]$$
A)row-echelon form
B)reduced row-echelon form
C)neither

Question

Determine whether the matrix is in row-echelon form, reduced row-echelon form or neither. $$\left[ \begin{array} { l l l l } 
1 & 0 & 1 & 1 \
0 & 1 & 0 & 1 \
1 & 0 & 1 & 1
\end{array} \right]$$
A)row-echelon form
B)reduced row-echelon form
C)neither

Quizplus · Accepted Answer

The matrix is not in row-echelon form because the leading entry (1) in the third row is not to the right of the leading entry in the row above it. It also fails to meet the criteria for reduced row-echelon form, which requires that each leading 1 be the only non-zero entry in its column.

Determine Whether the Matrix Is in Row-Echelon Form, Reduced Row-Echelon [101101011011]\left[ \begin{array} { l l l l } 1 & 0 & 1 & 1 \\0 & 1 & 0 & 1 \\1 & 0 & 1 & 1\end{array} \right]​101​010​101​111​​

Determine Whether the Matrix Is in Row-Echelon Form, Reduced Row-Echelon $\left[ \begin{array} { l l l l } 1 & 0 & 1 & 1 \\0 & 1 & 0 & 1 \\1 & 0 & 1 & 1\end{array} \right]$