§Example
:
Apply elementary row
operations to transform the following
matrix first into
echelon form and then
into
reduced echelon form.
§Solution:
§STEP
1:
Begin with the leftmost
nonzero column. This is a pivot column.
The pivot
position is at the top.
§Interchange
rows 1 and 3. (Rows 1
and 2 could have also been
interchanged instead.)
§
STEP
3:
Use row replacement
operations to create zeros in all
positions below the pivot
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