quartz/content/vault/reduction or elimination of matrices.md
2022-06-07 16:56:28 -06:00

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#math/linear_algebra
A [[systems of linear equations and matrices.|system of linear equations]] can be solved via matrix reduction into [[matrix representation of systems of linear equations#solve|row echelon form or reduced row echelon form]].
Gaussian Elimination ::: put an augmented matrix into [[matrix representation of systems of linear equations#solve#reduced row echelon form|row echelon form]] and solve by back substitution.
Gauss-Jordan Elimination ::: Put augmented matrix in [[matrix representation of systems of linear equations#solve#reduced row echelon form|***reduced*** row echelon]] form and solve by back substitution.