Determine whether the matrix is in echelon form, reduced echelon form, or neither.
-$$\left[ \begin{array} { r r r r }
1 & 0 & - 3 & - 5 \
0 & 1 & - 3 & 4 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
\end{array} \right]$$
A)Echelon form
B)Reduced echelon form
C)Neither

Question

Determine whether the matrix is in echelon form, reduced echelon form, or neither.
-$$\left[ \begin{array} { r r r r } 
1 & 0 & - 3 & - 5 \
0 & 1 & - 3 & 4 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
\end{array} \right]$$
A)Echelon form
B)Reduced echelon form
C)Neither

Quizplus · Accepted Answer

The matrix is in reduced echelon form because it satisfies all the conditions: each leading entry is 1, each leading 1 is the only non-zero entry in its column, and the leading 1s move to the right as you move down the rows.

Determine Whether the Matrix Is in Echelon Form, Reduced Echelon [10−3−501−3400000000]\left[ \begin{array} { r r r r } 1 & 0 & - 3 & - 5 \\0 & 1 & - 3 & 4 \\0 & 0 & 0 & 0 \\0 & 0 & 0 & 0\end{array} \right]​1000​0100​−3−300​−5400​​

Determine Whether the Matrix Is in Echelon Form, Reduced Echelon $\left[ \begin{array} { r r r r } 1 & 0 & - 3 & - 5 \\0 & 1 & - 3 & 4 \\0 & 0 & 0 & 0 \\0 & 0 & 0 & 0\end{array} \right]$