Determine whether the following matrix is in row-echelon form.If it is, determine if it is also in reduced row-echelon form.
$$\left[ \begin{array} { l l l l }
1 & 0 & 1 & 0 \
0 & 1 & 0 & 3 \
0 & 0 & 1 & 0
\end{array} \right]$$
A)Row-echelon form
B)Not in row-echelon form
C)Reduced row-echelon form

Question

Determine whether the following matrix is in row-echelon form.If it is, determine if it is also in reduced row-echelon form.  
  $$\left[ \begin{array} { l l l l } 
1 & 0 & 1 & 0 \
0 & 1 & 0 & 3 \
0 & 0 & 1 & 0
\end{array} \right]$$  
A)Row-echelon form
B)Not in row-echelon form
C)Reduced row-echelon form

Quizplus · Accepted Answer

The matrix is in row-echelon form because each row has a leading 1, and the leading 1s are in increasing order from left to right. It is not in reduced row-echelon form because the last row has a non-zero entry in the first column.

Determine Whether the Following Matrix Is in Row-Echelon Form [101001030010]\left[ \begin{array} { l l l l } 1 & 0 & 1 & 0 \\0 & 1 & 0 & 3 \\0 & 0 & 1 & 0\end{array} \right]​100​010​101​030​​

Determine Whether the Following Matrix Is in Row-Echelon Form $\left[ \begin{array} { l l l l } 1 & 0 & 1 & 0 \\0 & 1 & 0 & 3 \\0 & 0 & 1 & 0\end{array} \right]$