In a system of linear equations, generally m =n, that is, the number of equations is equal to the
number of unknowns. But in science and engineering applications, we also encounter situations
where m > n (over-determined system) or m < n (under-determined system). Also, when all the
constants b
j
are zero, the system of equations is called homogeneous. Otherwise, if even one b
j
is nonzero, the system is called inhomogeneous.
6.7.1 Gauss Elimination
Gauss elimination is a numerical method for solving an inhomogeneous system of linear equa-
tions where m =n. It consists of two consecutive steps: ...
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