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

Question

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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Solution 1

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 ea Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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Similar Questions

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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