What is a system of linear equations?
A system of linear equations is simply a set of linear equations. i.e.
a1,1x1+ a1,2x2+ . . . + a1,nxn = b1
a2,1x1+ a2,2x2+ . . . + a2,nxn = b2
. . .
am,1x1+ am,2x2+ . . . + am,nxn = bm
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