Pseudo Inverse & QR Decomposition

[ahamdiheme]

1. The problem statement, all variables and given/known data

Let A\inRmxn be factorized as A=QR where Q\inRmxn has orthonormal columns. Prove that A+=R+QT

2. Relevant equations

R is an upper triangular matrix

3. The attempt at a solution

I tried to apply the definition A+=(ATA)+A+
I ended up here: R+(RR+)TQT
I'm not sure if i am going in the right direction
thanks for your assistance