Plugin installed incorrectly. Rename plugin directory '_include' to 'include'.
Plugin installed incorrectly. Rename plugin directory '__include' to 'include'.
elementary_row_operation
This is an old revision of the document!
Warning: Undefined array key "do" in /home/levene/public_html/w/mst10030/lib/plugins/revealjs/action.php on line 14
Recall that when we form the augmented matrix of a linear system, each equation in the system becomes a row of the matrix. So we can translate the elementary operations on the linear system into corresponding operations on the rows of the matrix. We get three different types:
- change the order of the rows of the matrix;
- multiply one of the rows of the matrix by a non-zero real number;
- replace row $j$ by row $j$ ${}+{}$ $c\times {}$ row $i$, where $c$ is a non-zero real number.
The system of linear equations corresponding to these matrices will then have exactly the same solutions.
We call these operations elementary row operations on the matrix.
elementary_row_operation.1422361470.txt.gz · Last modified: by rupert