Category:Examples of Echelon Matrices
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This category contains examples of Echelon Matrix.
Let $\mathbf A = \sqbrk a_{m n}$ be an $m \times n$ matrix.
Echelon Form
$\mathbf A$ is in echelon form if and only if:
- $(1): \quad$ The leading coefficient in each non-zero row is $1$
- $(2): \quad$ The leading $1$ in any non-zero row occurs to the right of the leading $1$ in any previous row
- $(3): \quad$ The non-zero rows appear before any zero rows.
Reduced Echelon Form
The matrix $\mathbf A$ is in reduced echelon form if and only if, in addition to being in echelon form, the leading $1$ in any non-zero row is the only non-zero element in the column in which that $1$ occurs.
Such a matrix is called a reduced echelon matrix.
Pages in category "Examples of Echelon Matrices"
The following 14 pages are in this category, out of 14 total.
E
- Echelon Matrix/Examples
- Echelon Matrix/Examples/Arbitrary Example 1
- Echelon Matrix/Examples/Arbitrary Example 2
- Echelon Matrix/Examples/Arbitrary Example 3
- Echelon Matrix/Examples/Arbitrary Example 4
- Echelon Matrix/Examples/Arbitrary Example 5
- Echelon Matrix/Examples/Arbitrary Example 6
- Echelon Matrix/Examples/Arbitrary Example 7
N
- Non-Unity Variant of Echelon Matrix/Examples
- Non-Unity Variant of Echelon Matrix/Examples/Arbitrary Matrix 1
- Non-Unity Variant of Echelon Matrix/Examples/Arbitrary Matrix 2
- Non-Unity Variant of Echelon Matrix/Examples/Arbitrary Matrix 3
- Non-Unity Variant of Echelon Matrix/Examples/Arbitrary Matrix 4
- Non-Unity Variant of Echelon Matrix/Examples/Arbitrary Matrix 5