Perpendicular Symbol as Matrix Superscript

Question

If $A$ is a matrix that is not (necessarily) square, then what is $A^\perp$?

What I do know is:

• $A^\perp$ is a matrix, not the orthogonal complement
• It is related to the QR Decomposition.

And finally, is there a MATLAB command that will compute $A^\perp$?

Thanks very much!

Answer 1

It's probably the Moore-Penrose Pseudoinverse. You can compute this in MATLAB with pinv(A).