Thank you very much for the terminology clarification, thats what I thought the terms meant---seems different sources use different ways to describe the same thing at times.

I appreciate the help....I would like to post my method here when I establish something to work these 'underdetermined' systems (not a proof mind you!) just to make sure Im not reinventing the wheel or anything (in addition to taking unnecessary steps)

thanks again for the help with all my questions