Difference between revisions of "Null, column and row space"

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(New page: 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 s...)
 
(Null space)
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The null space of a <math>n\times m</math> matrix <math>A</math> is as,
 
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>\; .
+
:<math>\{\boldsymbol{x}\in\mathbb{R}^m|A\boldsymbol{x}=\boldsymbol{0}\}</math>.
  
 
The null space is all so known as the solution space.
 
The null space is all so known as the solution space.

Revision as of 23:48, June 2, 2008

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 matrix is as,

.

The null space is all so known as the solution space.