Extending Some Unorthodox Approaches To
Maurice Machover, Department of
Mathematics and Computer Sciences, St. John’s College of Liberal
Arts and Sciences
Some unusual approaches to undergraduate math have difficulties and
are rarely used. I am trying to remove some of these difficulties
by altering these techniques, since they are quicker than the
standard approaches. Specifically some difficulties are:
- To avoid division by zero in Lewis Carroll's method of "Alice
In Determinant Land."
- An easier way to find a pseudoinverse of any matrix than by
factoring it into various forms.
- Possibly find a shortcut to 4-by-4 or higher order determinants
by extending Cromer's method (a high school student) of quick
evaluation of a 3-by-3.