back substitution
The method known as "back substitution" is essential for solving systems of linear equations, particularly in the Gaussian elimination process.
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Definition
C1Linear Algebra
(technical, academic)A technique for solving systems of linear equations by starting with the last equation and substituting known values into the preceding ones.
Example
- After transforming the matrix into row echelon form, we used back substitution to find the solution vector.
- Back substitution is the final step in the Gaussian elimination process.
C2Combinatorics
(technical, academic)A method for solving recurrence relations by determining the terms in reverse order.
Example
- We applied back substitution to solve the recurrence relation for the sequence.
Similar
Terms that have similar or relatively close meanings to "back substitution":