# Moore-Penrose inverse

tags
Mathematics

The MP inverse exists and is unique for any matrix $$A$$. When $$A$$ has linearly independent columns, the MP inverse $$A^+$$ is $A^+ = (A^* A)^{-1 } A^*$

Where $$A^*$$ is the conjugate transpose of $$A$$.

If the rows are linearly independent, $A^+ = A^* (AA^*)^{-1}$.