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linear_algebra:03_gaussian_elimination [2014/01/20 13:34] marje |
linear_algebra:03_gaussian_elimination [2014/12/14 00:12] jaan [3. Gaussian elimination algorithm] |
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| - | Following operations with a matrix are called **elementary row operations**: | + | The following operations with a matrix are called **elementary row operations**: |
| - Switching two rows. | - Switching two rows. | ||
| - Multiplying a row by a nonzero constant. | - Multiplying a row by a nonzero constant. | ||
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| - | In therms of the augmented matrix, the first elementary row operation means that we can reorder | + | In terms of the augmented matrix, the first elementary row operation means that we can reorder |
| equations within the system.\\ | equations within the system.\\ | ||
| The second elementary row operation means that we can multiply an equation with some constant, i.e. | The second elementary row operation means that we can multiply an equation with some constant, i.e. | ||