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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] (current)jaan [3. Gaussian elimination algorithm] Both sides previous revision Previous revision 2014/12/14 00:12 jaan [3. Gaussian elimination algorithm] 2014/01/20 13:34 marje 2014/01/20 13:30 marje 2014/01/20 13:24 marje 2014/01/20 12:50 marje 2014/01/13 20:50 marje 2014/01/13 19:48 marje created 2014/12/14 00:12 jaan [3. Gaussian elimination algorithm] 2014/01/20 13:34 marje 2014/01/20 13:30 marje 2014/01/20 13:24 marje 2014/01/20 12:50 marje 2014/01/13 20:50 marje 2014/01/13 19:48 marje created Line 40: Line 40: - 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. Line 91: Line 91: - 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.