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math_LinearAlgebra_ner

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integer O
may O
be O
identified O
to O
a O
repeated O
addition B-Attributes
integers B-Math
can O
be O
identified O
with O
abelian O
groups O
since O
the O
multiplication O
by O
an O
integer O
may O
be O
identified O
to O
a O
repeated O
additio O
thus O
computing O
intersections O
of O
lines O
and O
planes O
amounts O
to O
solving O
systems O
of O
linear B-Math
equations I-Math
lines B-Math
and O
planes O
amounts O
to O
solving O
systems O
of O
linear O
equation O
and O
planes B-Math
amounts O
to O
solving O
systems O
of O
linear O
equation O
the O
concepts O
of O
linear B-Math
independence I-Math
span I-Math
basis I-Math
and O
linear O
maps O
also O
called O
module O
homomorphisms O
are O
defined O
for O
modules O
exactly O
as O
for O
vector O
spaces O
with O
the O
essential O
difference O
that O
if O
r O
is O
not O
a O
field O
there O
are O
modules O