1.

Evaluate the following determinants. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]]

Answer»

SOLUTION :`[[1,OMEGA,omega^2],[omega,omega^2,1],[omega^2,1,omega]]=[[1+omega+omega^2,omega,omega^2],[omega+omega^2+1,omega^2,1],[omega^2+1+omega,1,omega]]`
(REPLACING `C_1` by `C_1+C_2+C_3`)
=`[[0,omega,omega^2],[0,omega^2,1],[0,1,omega]]=0(because 1+omega+omega^2)`


Discussion

No Comment Found

Related InterviewSolutions