Properties of the Moore Penrose Pseudo Inverse

We prove several important properties of the Moore-Penrose Pseudo-inverse of a linear operator on a finite dimensional inner product space. We previously defined this operator in the video
We show that the product of the operator and the pseudo-inverse will either be the orthogonal projection onto the range of the operator or the orthogonal complement of the null space, depending on the order of the product.

#mikethemathematician, #mikedabkowski, #profdabkowski

[erakerrnaja]

can you please make an example with Moore Penrose, I need an exercise to understand better where we have A and where we have b..