By Kardi Teknomo, PhD.
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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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**Preferable reference for this tutorial is**
Teknomo, Kardi (2011) Linear Algebra tutorial. http:\\people.revoledu.com\kardi\
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