vault backup: 2026-10-04 12:05:38
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@@ -22,7 +22,7 @@
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- 1. multiply each nonzero row by the inverse of the pivot so every pivot is 1
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- 2. manipulate so every pivot only has zeros above it
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- This means that leading variables are only in the equations that they lead
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- This puts the matrix in reduced echelon form
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- This puts the matrix in **reduced echelon form**
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- Homogeneous linear system
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- when the $b_{n}$ term of each equation is zero
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- There is a "trivial solution" where each variable equals zero
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