Difference between revisions of "Dictionary:Back substitution"

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When simultaneous equations can be expressed as <math> A\cdot X=B </math>, where <math> A </math> is a triangular matrix and <math> X </math> and <math> B </math> are vectors, the solution for the last (or first) value becomes trivial. Back-substitution then involves successively replacing the last (or first) value in the equations for the other elements so that their solutions also become trivial.
 
When simultaneous equations can be expressed as <math> A\cdot X=B </math>, where <math> A </math> is a triangular matrix and <math> X </math> and <math> B </math> are vectors, the solution for the last (or first) value becomes trivial. Back-substitution then involves successively replacing the last (or first) value in the equations for the other elements so that their solutions also become trivial.
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Revision as of 07:05, 24 January 2017

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When simultaneous equations can be expressed as , where is a triangular matrix and and are vectors, the solution for the last (or first) value becomes trivial. Back-substitution then involves successively replacing the last (or first) value in the equations for the other elements so that their solutions also become trivial.