ReducedRowEchelonForm
Transforms a matrix to reduced row echelon form using elementary row operations.
Syntax
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ReducedRowEchelonForm(A)-
Ais a matrix
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Description
If A is a matrix, then ReducedRowEchelonForm(A) returns A transformed into reduced row echelon form using elementary row operations.
Examples
A ≔ ❨❨5, 1, 2, 3, 4❩, ❨4, 0, 2, 1, 7❩, ❨6, 3, 0, 4, 7❩, ❨4, 5, 2, 3, 9❩, ❨4, 0, 1, 2, 5❩❩
⎛5 1 2 3 4⎞ ⎜4 0 2 1 7⎟ ⎜6 3 0 4 7⎟ ⎜4 5 2 3 9⎟ ⎝4 0 1 2 5⎠
ReducedRowEchelonForm(A)
⎛1 0 0 0 0⎞ ⎜0 1 0 0 0⎟ ⎜0 0 1 0 0⎟ ⎜0 0 0 1 0⎟ ⎝0 0 0 0 1⎠