By Kardi Teknomo, PhD.
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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.
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**See also**: rank through RREF, matrix rank, matrix range, solving system linear equations
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Teknomo, Kardi (2011) Linear Algebra tutorial. http:\\people.revoledu.com\kardi\
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