यदि omega इकाई का घनमूल हो तो सारणिक |(1...

यदि `omega` इकाई का घनमूल हो तो सारणिक `|(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)|` का मान ज्ञात कीजिए |

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(1+omega-omega^(2))(1-omega+omega^(2))

(1-omega+omega^(2))(1+omega-omega^(2))=4

|[1,omega,omega^2] , [omega, omega^2,1] , [omega^2,1,omega]|=0

det [[1, omega, omega^(2) omega, omega^(2), 1omega^(2), 1, omega]]

det [[1, omega, omega^(2) omega, omega^(2), 1omega^(2), 1, omega]] =

(1-omega +omega^2)(1+omega-omega^2)=4

Find the value of : |(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega)|

find determinant of |(1, omega, omega^(2)),(omega, omega^(2),1),(omega^(2),1,omega)|=

If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^(2), 1),(omega^(2), omega, 1)| =

(1-omega+omega^(2))^(7)+(1+omega-omega^(2))^(7)