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math_LinearAlgebra_ner

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equivalently O
a O
set O
b O
is O
a O
basis O
if O
its O
elements O
are O
linearly B-Math
independent I-Math
and O
every O
element O
of O
v O
is O
a O
linear O
combination O
of O
elements O
of O
and O
every O
element O
of O
v O
is O
a O
linear B-Math
combination I-Math
of O
elements O
of O
thus O
the O
solution B-Math
set I-Math
may O
be O
a O
plane O
a O
line O
a O
single O
point O
or O
the O
empty O
se O
may O
be O
a O
plane B-Math
a O
line O
a O
single O
point O
or O
the O
empty O
se O
a O
line B-Math
a O
single O
point O
or O
the O
empty O
se O
a O
single B-Math
point I-Math
or O
the O
empty O
se O
or O
the O
empty B-Math
set I-Math
the O
mathematical O
representation O
of O
a O
physical O
vector O
depends O
on O
the O
coordinate B-Math