Algebra Examples

,
Step 1
Write as an augmented matrix for .
Step 2
Find the reduced row echelon form.
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Step 2.1
Multiply each element of by to make the entry at a .
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Step 2.1.1
Multiply each element of by to make the entry at a .
Step 2.1.2
Simplify .
Step 2.2
Perform the row operation to make the entry at a .
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Step 2.2.1
Perform the row operation to make the entry at a .
Step 2.2.2
Simplify .
Step 2.3
Multiply each element of by to make the entry at a .
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Step 2.3.1
Multiply each element of by to make the entry at a .
Step 2.3.2
Simplify .
Step 2.4
Perform the row operation to make the entry at a .
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Step 2.4.1
Perform the row operation to make the entry at a .
Step 2.4.2
Simplify .
Step 2.5
Perform the row operation to make the entry at a .
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Step 2.5.1
Perform the row operation to make the entry at a .
Step 2.5.2
Simplify .
Step 3
Write the matrix as a system of linear equations.
Step 4
Write the solutions as a set of vectors.
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