Matrix Range
A
linear system
can be thought as a
linear transformation
of a vector
in
dimensional space into vector
in
dimensional space. The solution space
of a
non-homogeneous
system of equations
is called the
range of matrix
and the dimension of the range of matrix
is called the
rank
of
symbolizes as
.
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 nullity and null space , solving system linear equations
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