ELA, Volume 7, pp. 100-111, September 2000, abstract.  

The Quaternionic Determinant

Nir Cohen and Stefano De Leo

The determinant for complex matrices cannot be extended to 
quaternionic matrices. Instead, the Study determinant and 
the closely related q-determinant are widely used. In this 
paper it is shown that the Study determinant can be 
characterized as the unique functional extending the 
absolute value of the complex determinant, and its spectral 
and linear algebraic aspects are discussed.