Linear Algebra Examples

Find Pivot Positions and Pivot Columns
Step 1
Find the reduced row echelon form.
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Step 1.1
Multiply each element of by to make the entry at a .
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Step 1.1.1
Multiply each element of by to make the entry at a .
Step 1.1.2
Simplify .
Step 1.2
Perform the row operation to make the entry at a .
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Step 1.2.1
Perform the row operation to make the entry at a .
Step 1.2.2
Simplify .
Step 1.3
Multiply each element of by to make the entry at a .
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Step 1.3.1
Multiply each element of by to make the entry at a .
Step 1.3.2
Simplify .
Step 1.4
Perform the row operation to make the entry at a .
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Step 1.4.1
Perform the row operation to make the entry at a .
Step 1.4.2
Simplify .
Step 2
The pivot positions are the locations with the leading in each row. The pivot columns are the columns that have a pivot position.
Pivot Positions: and
Pivot Columns: and
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