Status: Tags: #cards/math232/unit2 Links: Augmented Matrix
Row Echelon Form
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Principles
- Can’t use changed ones in the same step
- Focus on setting zeros under before moving on
Style of Augmented Matrix with the following properties ?
- Reduced using gaussian elimination
- Each row either consist of all zeros, or has a 1 as first non-zero entry (leading 1)
- Any rows of all zeros are grouped together at the bottom of matrix
- In two successive nonzero rows, the leading 1 in the lower row is to the right of the leading 1 in the upper row
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Free variables are when the column has no leading
- lead variables depend on Free variables
Examples
Solution set of
?
None since 0=1 for the last one
Solution set of
?
- Choose the free, find leading, state point
- turn free into letter var
Backlinks
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References:
Created:: 2022-01-19 18:33