Hi
Let A be an
matrix. An
matrix
is a pseudoinverse of A if there are matrices
such that
Show that
exists and is unique.
Whereas i know pseudo inverse is obtained from singular value decomposition (SVD), as any
matrix can be decomposed as
where
is diagonal matrix and
are orthogonal matrices.
So we can find
this stratifies the first property
.
Where
is matrix of reciprocal of eigenvalues of
.
My Question is how can
1. How can I prove other properties
using this SVD decomposition.
2. Here in the stated problem matrices are not orthogonal, is it OK.
Thanks in advance