Symbolic expansion of complex determinants

A method comprising:

• reading a plurality of elements within a determinant;
• calculating the number of terms in the expansion of said determinant;
• creating a work space determinant;
• creating a use space determinant;
• determining if said work space determinant and said use space determinant are equal to zero;
• wherein upon said determination that said work space determinant is not equal to zero and said use space determinant is equal to zero, calculating the term of said expansion.

A program product operable on a computer, said program product comprising:

• a computer-usable medium;
• wherein said computer usable medium comprises instructions comprising:
• instructions for analyzing a plurality of elements in a determinant to determine which of said elements are equal to zero;
• and
• instructions for eliminating a zero-element containing term from the expansion of said determinant.

A program product operable on a computer, said program product comprising:

• a computer-usable medium;
• wherein said computer usable medium comprises instructions comprising:
• instructions for identifying an element within a determinant that is equal to zero;
• and
• instructions for reducing the number of terms in an expansion of said determinant by eliminating a zero-element containing term from the expansion of said determinant.

A program product operable on a computer, said program product comprising:

• a computer-usable medium;
• wherein said computer usable medium comprises instructions comprising:
• instructions for reading a plurality of elements within a determinant;
• instructions for calculating the number of terms in the expansion of said determinant;
• instructions for creating a work space determinant;
• instructions for creating a use space determinant;
• instructions for determining if said work space determinant is not equal to zero and said use space determinant is equal to zero;
• wherein upon said determination that said work space determinant is not equal to zero and said use space determinant is equal to zero, calculating the term of said expansion.