Penrose equations
= Penrose equations
{c}
The Moore--Penrose inverse is characterized by
$$
AA^\dagger A=A,
\quad
A^\dagger AA^\dagger=A^\dagger,
\quad
(AA^\dagger)^*=AA^\dagger,
\quad
(A^\dagger A)^*=A^\dagger A.
$$
= Penrose equations
{c}
The Moore--Penrose inverse is characterized by
$$
AA^\dagger A=A,
\quad
A^\dagger AA^\dagger=A^\dagger,
\quad
(AA^\dagger)^*=AA^\dagger,
\quad
(A^\dagger A)^*=A^\dagger A.
$$