Unformatted text preview: nonzero entry in Row 3, etc. • At the last step, multiply each row with a nonzero entry by the reciprocal of its first nonzero entry. Additionally • At each step in the process, check to see if all the entries in any row have a nontrivial common multiple. If so, divide the row by that common multiple. (This will keep the magnitude of the calculations minimal.) • If any row contains all zeros, move that row to the bottom of the matrix. Variation on the process • The matrix resulting from the above simplification will be in echelon form . To obtain a matrix in reduced row echelon form , use Row 2 to zero out the entries above and below the first nonzero entry in Row 2. Similarly, if necessary, use Row 3 to zero out the entries above the first nonzero entry in Row 3....
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 Fall '11
 Kutter
 Algebra, Addition, Matrices, Elementary arithmetic, Row echelon form, Row

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