Editing Moore–Penrose inverse (section)

==Notation==
In the following discussion, the following conventions are adopted.

* {{tmath| \mathbb{K} }} will denote one of the [[field (mathematics)|fields]] of real or complex numbers, denoted {{tmath| \mathbb{R} }}, {{tmath| \mathbb{C} }}, respectively. The vector space of {{tmath| m \times n }} matrices over {{tmath| \mathbb{K} }} is denoted by {{tmath| \mathbb{K}^{m \times n} }}.
* For {{tmath| A \in \mathbb{K}^{m\times n} }}, the transpose is denoted {{tmath| A^\mathsf{T} }} and the Hermitian transpose (also called [[conjugate transpose]]) is denoted {{tmath| A^* }}. If <math>\mathbb{K} = \mathbb{R}</math>, then <math>A^* = A^\mathsf{T}</math>.
* For {{tmath| A \in \mathbb{K}^{m\times n} }}, {{tmath| \operatorname{ran}(A) }} (standing for "[[Range of a function|range]]") denotes the [[column space]] ([[Image (mathematics)|image]]) of {{tmath| A }} (the space spanned by the column vectors of {{tmath| A }}) and {{tmath| \ker(A) }} denotes the [[Kernel (linear algebra)|kernel]] (null space) of {{tmath| A }}.
* For any positive integer {{tmath| n }}, the {{tmath| n \times n }} [[identity matrix]] is denoted {{tmath| I_n \in \mathbb{K}^{n\times n} }}.