Skip to main content
23-Emerald V
September 17, 2021
Question

The Lehmer Matrix and its Inverse

  • September 17, 2021
  • 1 reply
  • 1949 views

It's strange where things can lead.  I wondered if a matrix of consecutive integers had a special name in standard mathematical usage.   I couldn't find such a name, but I did find a few with special names, including one called the Lehmer Matrix.   Before I knew what was happening, I'd created a Mathcad worksheet implementing the Lehrer Matrix and its inverse, which has an explicit formula.

 

The worksheet is attached.  I can't check it properly because I'm about to run out of my 30-day trial period and lose both symbolics and programming.

 

Stuart

1 reply

24-Ruby III
September 17, 2021

Please attach also a PDF file to preview the contents of your worksheet.

23-Emerald V
September 17, 2021

@VladimirN wrote:

Please attach also a PDF file to preview the contents of your worksheet.


As requested, Vladimir, plus (very slightly) amended worksheet ... please ignore the last page, I was just playing.

 

Oh, and a link to the Wiki page on the Lehmer Matrix: https://en.wikipedia.org/wiki/Lehmer_matrix

 

Stuart

23-Emerald IV
September 17, 2021

For those interested, and not up to Prime 7.

 

Luc