Yes, the given matrix is in reduced row echelon form.

A matrix is in reduced row echelon form if it satisfies the following conditions:

1. All rows that contain only zeros are at the bottom of the matrix.
2. The leading entry (also known as the pivot) of each non-zero row is 1.
3. The pivot of each row is to the right of the pivot of the row above it.
4. All entries in the column above and below a pivot are zero.

The given matrix satisfies all these conditions. Therefore, it is in reduced row echelon form.

Question

Yes, the given matrix is in reduced row echelon form.

A matrix is in reduced row echelon form if it satisfies the following conditions:

1. All rows that contain only zeros are at the bottom of the matrix.
2. The leading entry (also known as the pivot) of each non-zero row is 1.
3. The pivot of each row is to the right of the pivot of the row above it.
4. All entries in the column above and below a pivot are zero.

The given matrix satisfies all these conditions. Therefore, it is in reduced row echelon form.

Knowee AI · Accepted Answer

Yes, the given matrix is in reduced row echelon form.

A matrix is in reduced row echelon form if it satisfies the following conditions:

1. All rows that contain only zeros are at the bottom of the matrix.
2. The leading entry (also known as the pivot) of each non-zero row is 1.
3. The pivot of each row is to the right of the pivot of the row above it.
4. All entries in the column above and below a pivot are zero.

The given matrix satisfies all these conditions. Therefore, it is in reduced row echelon form.

is this matrix in reduced row echelon form \[ \begin{bmatrix}1 & 5 & 0 & \vert & 0 \\0 & 0 & 1& \vert & 4 \\0 & 0 & 0 & \vert & 1\end{bmatrix} \]

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Is this matrix in reduced row echelon form?

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