Editing Singular value decomposition (section)

=== Relation to the four fundamental subspaces ===
* The first {{tmath|r}} columns of {{tmath|\mathbf U}} are a basis of the [[column space]] of {{tmath|\mathbf M}}.
* The last {{tmath|m-r}} columns of {{tmath|\mathbf U}} are a basis of the [[null space]] of {{tmath|\mathbf M^*}}.
* The first {{tmath|r}} columns of {{tmath|\mathbf V}} are a basis of the column space of {{tmath|\mathbf M^*}} (the [[row space]] of {{tmath|\mathbf M}} in the real case).
* The last {{tmath|n-r}} columns of {{tmath|\mathbf V}} are a basis of the null space of {{tmath|\mathbf M}}.