Determine whether the matrix is in echelon form, reduced echelon form, or neither.
-$$\left[ \begin{array} { r r r r }
1 & 0 & 0 & - 7 \
2 & 1 & 0 & - 2 \
0 & 5 & 1 & 2
\end{array} \right]$$
A)Neither
B)Echelon form
C)Reduced echelon form

Question

Determine whether the matrix is in echelon form, reduced echelon form, or neither.
-$$\left[ \begin{array} { r r r r } 
1 & 0 & 0 & - 7 \
2 & 1 & 0 & - 2 \
0 & 5 & 1 & 2
\end{array} \right]$$
A)Neither
B)Echelon form
C)Reduced echelon form

Quizplus · Accepted Answer

The matrix is neither in echelon form nor reduced echelon form because the leading entry in the second row is not 1, and the leading entries are not in a staircase pattern.

Determine Whether the Matrix Is in Echelon Form, Reduced Echelon [100−7210−20512]\left[ \begin{array} { r r r r } 1 & 0 & 0 & - 7 \\2 & 1 & 0 & - 2 \\0 & 5 & 1 & 2\end{array} \right]​120​015​001​−7−22​​

Determine Whether the Matrix Is in Echelon Form, Reduced Echelon $\left[ \begin{array} { r r r r } 1 & 0 & 0 & - 7 \\2 & 1 & 0 & - 2 \\0 & 5 & 1 & 2\end{array} \right]$