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if `|{:(a^(2)+lamda^(2),ab+clamda,ca-blamda),(ab-clamda,b^(2)+lamda^(2),bc+alamda),(ca+blamda,-bc+alamda,c^(2)+lamda^(2)):}||{:(lamda,c,-b),(-c,lamda,a),(b,-a,lamda):}|=(1+a^(2)+b^(2)+c^(2))^(3)`, then find the value of `lamda` |
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Answer» Correct Answer - A We observe that the elements in the prefactor are the confactors of the correspoinding elements of the post factor. Hence, `L.H.S=|{:(lamda,c,-b),(-c,lamda,a),(b,-a,lamda):}|^(3)=[lamda(lamda^(2)+a^(2)+b^(2)+c^(2))]^(3)=(1+a^(2)+b^(2)+c^(2))^(3)implieslamda=1` |
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