यदि ` omega ` इकाई का घनमूल हो, तो
`|{:(1,omega^(6),omega^(8)),(omega^(6),omega^(3),omega^(7)),(omega^(8),omega^(7),1):}|`का मान ज्ञात कीजिए।

Explanation

`therefore omega^(3)=1`
`omega^(6)=(omega^(3))^(2)=1`
`omega^(7)=omega,omega^(6)=omega, 1=omega`
`omega^(8)=omega, omega^(7)=omega,omega=omega^(2)`
मान रखने पर
`|{:(1,1,omega^(2)),(1,1,omega),(omega^(2),omega,1):}|`
`C_(1)-C_(2)=|{:(0,1,omega^(2)),(0,1,omega),(omega^(2)-omega,omega,1):}|=(omega^(2)-omega)(omega-omega^(2))`
`=-(omega-omega^(2))(omega-omega^(2))=-(omega-omega^(2))^(2)`
`=-(omega^(2)+omega^(4)-2omega^(3))=-(omega^(2)+omega-2)`
`=-(-1-2)=3.`