Methods of solving linear systems - Part 3
Gaussian elimination is yet another way to solve a system of linear equations
In this method, we augment the coefficient matrix by adding the constant
vector into the matrix as the last column
the matrix is therefore no longer square...
We can add, subtract, multiply or divide any ROW by any arbitrary constant to
suit our purpose
We may also add or subtract any ROW from any other ROW.
The PURPOSE is to manipulate our matrix until we have it in a form that
allows us to solve all the unknowns by back-substitution.
|