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elementary_row_operation
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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 or EROs on the matrix.
elementary_row_operation.1422527932.txt.gz · Last modified: by rupert