Strategies for Expanding Determinants where

In using the Huckel model for calculating the molecuiar orbital energies, e, for electrons in the ir shell of the allyl system, it is necessary to solve the following equation  

Hint division of each element in one row or column by results in a new determinant, the value of which is multiplied by Thus division of every element in the determinant results in a new determinant, the value of which is multiplied by 

This chapter develops the concept of the determinant as a precursor to a more complete treatment of matrix algebra in Chapter 4. The key points discussed include  

The use of determinants to solve sets of simultaneous linear equations. 

Properties of determinants, and their use to simplify the expansion of determinants of high order. 

---