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# Example of (echelon matrix/matrix in (row) echelon form)

Put content here.**Examples of matrices in row echelon form:**
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1. $$\begin{pmatrix} 1 & 2 & 0 & 3 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 \end{pmatrix}$$
   — Pivot positions: (1,1) and (2,3). Zero row at bottom.
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2. $$\begin{pmatrix} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 0 & 0 & 1 \end{pmatrix}$$
   — Already in echelon form (also upper triangular).
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3. $$\begin{pmatrix} 0 & 2 & 3 & 4 \\ 0 & 0 & 0 & 5 \\ 0 & 0 & 0 & 0 \end{pmatrix}$$
   — First column has no pivot; pivots in columns 2 and 4.
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**Non-examples:**
- $$\begin{pmatrix} 1 & 2 \\ 1 & 3 \end{pmatrix}$$ — entry below pivot is not zero
- $$\begin{pmatrix} 0 & 0 \\ 1 & 2 \end{pmatrix}$$ — zero row is above a nonzero row

# Parents

* Echelon matrices