Echelon matrices
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- Example of putting a matrix in echelon form
- Example of putting a matrix in echelon form and identifying the pivot columns
- Definition of (echelon matrix/matrix in (row) echelon form)
- Gauss-Jordan procedure to put a matrix into reduced row echelon form
- Example of (echelon matrix/matrix in (row) echelon form)
- Definition of (row) echelon form of a matrix
- Definition of matrix in reduced row echelon form
- Definition of reduced row echelon form of a matrix
- Definition of row reduce a matrix
- Example of row reducing a 3-by-3 matrix
- Example of row reducing a 4-by-4 matrix
- Every matrix is row-equivalent to a matrix in reduced row echelon form.
- Every matrix is row-equivalent to only one matrix in reduced row echelon form.
- Definition of extended reduced row echelon form of a matrix
- Theorem describing properties of the block matrices of the extended reduced row echelon form of a matrix
- Theorem describing spaces associated to the block matrices of the extended reduced row echelon form of a matrix
- Theorem describing the dimension of spaces associated to the block matrices of the extended reduced row echelon form of a matrix
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