Row reduction of matrices is an algorithm involved
in many parts of linear algebra - everything from solving systems of linear
equations and inverting matrices to finding sets of linearly independent vectors
or change-of-basis matrices.
In this learning object, you will look at
- What the reduced row-echelon form of a matrix is,
- What elementary row operations are and how to use them to transform a matrix,
- How to systematically reduce any matrix to reduced row-echelon form,
- Some issues that arise when using computers to row reduce a matrix.
Go
to the 
Go
to the
Prerequisites: none, other than a
knowledge of what a matrix is.
Keywords row operations, row reduction,
reduced row echelon form, row echelon form, Gauss-Jordan elimination, Gaussian
elimination
 How
to Row Reduce a Matrix |
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| Introduction | Row operations and reduced row-echelon form | Gauss-Jordan elimination | Row reduction with a computer |