What is the Moore-Penrose inverse, or the group inverse of a product matrices which one matrix is invertible and another one is noninvertible?

Let A, B ∈ ℂn×n where A is an invertible matrix (and A⁻¹ ≠ AT), but B is a noninvertible. Let C = AB. What is C†? (C† is the Moore-Penrose inverse of C). Suppose that rank C = rank C². What is C#?...

24 July 2016 1,830 19 View