Null Space
A
homogeneous linear system
can be thought as a
linear transformation
of a vector
in
dimensional space into zero vector in
dimensional space.
The solution
of a homogeneous system of equations
is called the
null space
of
and the dimension of the null space is called the
nullity
of
.
The dimension of the
range
and the null space of a matrix are related through fundamental relationship
. Where
is the number of original unknowns.
See also : rank through RREF , matrix rank , matrix range , solving system linear equations
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