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In mathematics a [[matrix]] can be catergorised by its null, column and to a lesser extent its column space. These are all [[vector]] spaces asscoiated with a particular matrix.
==Null space==
The null space of a <math>n\times m</math> matrix <math>A</math> is as,
:<math>\{\boldsymbol{x}\in\mathbb{R}^m|A\boldsymbol{x}=\boldsymbol{0}\}</math>\; .
The null space is all so known as the solution space.