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Hi, thanks for the great article!
I was trying to derive the matrix inverse for the 3x3 and 4x4 and I kept having problems. I was following with your statement:
"Each element of the inverse is the determinant of its minor divided by the determinant of the whole." That was not giving me at all what you had. I did some more research and found this notion of "Adjoint", here http://easycalculation.com/matrix/inverse-matrix-tutorial.php
That made all the difference. It seems you left that part out.
- Rick Pingry
Thanks very much for letting me know about this, I have changed the wording and updated the site.
I think I really need to do some follow up things to improve the page, such as adding definitions for terms like 'minor', 'cofactor' and 'adjoint'. Also I think I really need to check all the formulas and calculators to make sure I have not made the same omission with these.