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elementary_row_operation_for_slides
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| elementary_row_operation_for_slides [2016/01/24 18:04] – created rupert | elementary_row_operation_for_slides [2016/01/24 18:05] (current) – rupert | ||
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| - | We can translate the [[elementary operations on a linear system|elementary operations on the linear system]] into operations on the rows of the [[augmented matrix]]: | + | Translate |
| - change the order of the rows of the matrix; | - change the order of the rows of the matrix; | ||
| Line 6: | Line 6: | ||
| - replace row $j$ by "row $j$ ${}+{}$ $c\times {}$ (row $i$)", where $c$ is a non-zero real number and $i\ne j$. | - replace row $j$ by "row $j$ ${}+{}$ $c\times {}$ (row $i$)", where $c$ is a non-zero real number and $i\ne j$. | ||
| - | * The system of linear equations corresponding to these matrices will then have exactly the same solutions. | ||
| * These operations are called **elementary row operations** or **EROs** on the matrix. | * These operations are called **elementary row operations** or **EROs** on the matrix. | ||
| + | * The systems of linear equations corresponding to these matrices have exactly the same solutions. | ||
elementary_row_operation_for_slides.1453658648.txt.gz · Last modified: by rupert