Determine whether the matrix is in echelon form, reduced echelon form, or neither.
-$$\left[ \begin{array} { r r r r }
1 & 4 & 5 & - 7 \
6 & 1 & - 4 & 8 \
0 & 5 & 1 & 6
\end{array} \right]$$
A)Reduced echelon form
B)Echelon form
C)Neither

Question

Determine whether the matrix is in echelon form, reduced echelon form, or neither.
-$$\left[ \begin{array} { r r r r } 
1 & 4 & 5 & - 7 \
6 & 1 & - 4 & 8 \
0 & 5 & 1 & 6
\end{array} \right]$$
A)Reduced echelon form
B)Echelon form
C)Neither

Quizplus · Accepted Answer

The matrix is neither in echelon form nor reduced echelon form because the leading entry of the second row is not to the right of the leading entry of the first row, which violates the echelon form condition.

Determine Whether the Matrix Is in Echelon Form, Reduced Echelon [145−761−480516]\left[ \begin{array} { r r r r } 1 & 4 & 5 & - 7 \\6 & 1 & - 4 & 8 \\0 & 5 & 1 & 6\end{array} \right]​160​415​5−41​−786​​

Determine Whether the Matrix Is in Echelon Form, Reduced Echelon $\left[ \begin{array} { r r r r } 1 & 4 & 5 & - 7 \\6 & 1 & - 4 & 8 \\0 & 5 & 1 & 6\end{array} \right]$