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यदि omega इकाई का एक काल्पनिक घन मूल है,...

यदि `omega` इकाई का एक काल्पनिक घन मूल है, तो सारणिक `|(1+omega,omega^(2),-omega),(1+omega^(2),omega,-omega^(2)),(omega+omega^(2),omega,-omega2)|` का मान है-

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

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

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Prove that (1-omega-omega^(2))(1-omega+omega^(2))(1+omega-omega^(2))=8

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