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gaussian_elimination_algorithm
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| gaussian_elimination_algorithm [2015/02/02 17:21] – created rupert | gaussian_elimination_algorithm [2015/02/05 11:42] (current) – rupert | ||
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| Line 6: | Line 6: | ||
| - Divide all of the top row by its leading entry, so that this entry becomes a $1$. | - Divide all of the top row by its leading entry, so that this entry becomes a $1$. | ||
| - "Pivot about the leading 1": subtract multiples of the top row from each row below so that all entries below the leading $1$ in the top row become $0$. | - "Pivot about the leading 1": subtract multiples of the top row from each row below so that all entries below the leading $1$ in the top row become $0$. | ||
| - | - Go back to the start, ignoring the top row (until no rows remain). | + | - Go back to the start, ignoring the top row (until no rows remain, except possibly zero rows). |
| If we want, we can go further and put the matrix into [[RREF]]. First put it into REF as above, and then: | If we want, we can go further and put the matrix into [[RREF]]. First put it into REF as above, and then: | ||
gaussian_elimination_algorithm.1422897717.txt.gz · Last modified: by rupert