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`This presentation is devoted to solving linear systems
of the form
`

`
The unknowns are
and they need to satisfy
`*simultaneously* all equations.
Several simulaneous equations form a *system*;
each equation is linear (involves only the first power of the unknowns),
therefore we have a *linear system of equations*.
The numbers are called the coefficients (
is the coefficient of variable
in equation number ) and are called
the right hand sides.
`Linear systems arise in a variety of
applications in science and engineering.
`

Adrian Sandu
2001-08-26